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2440343040 = 29352910957
BaseRepresentation
bin1001000101110100…
…1010111000000000
320022001221021022120
42101131022320000
514444211434130
61042053004240
7114321400512
oct22135127000
96261837276
102440343040
111042567933
12581323680
132cb772685
14192161bb2
15e4394910
hex9174ae00

2440343040 has 160 divisors (see below), whose sum is σ = 8071224480. Its totient is φ = 628260864.

The previous prime is 2440343039. The next prime is 2440343041. The reversal of 2440343040 is 403430442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2440343039) and next prime (2440343041).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2440343040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440343041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217242 + ... + 228198.

It is an arithmetic number, because the mean of its divisors is an integer number (50445153).

Almost surely, 22440343040 is an apocalyptic number.

2440343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035612240).

2440343040 is an abundant number, since it is smaller than the sum of its proper divisors (5630881440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2440343040 is a wasteful number, since it uses less digits than its factorization.

2440343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11012 (or 10996 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2440343040 is about 49399.8283397827. The cubic root of 2440343040 is about 1346.3261869466.

Adding to 2440343040 its reverse (403430442), we get a palindrome (2843773482).

The spelling of 2440343040 in words is "two billion, four hundred forty million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1160 1280 1392 1536 1740 1856 1920 2320 2560 2784 3480 3712 3840 4640 5568 6960 7424 7680 9280 10957 11136 13920 14848 18560 21914 22272 27840 32871 37120 43828 44544 54785 55680 65742 74240 87656 109570 111360 131484 164355 175312 219140 222720 262968 317753 328710 350624 438280 525936 635506 657420 701248 876560 953259 1051872 1271012 1314840 1402496 1588765 1753120 1906518 2103744 2542024 2629680 2804992 3177530 3506240 3813036 4207488 4766295 5084048 5259360 5609984 6355060 7012480 7626072 8414976 9532590 10168096 10518720 12710120 14024960 15252144 16829952 19065180 20336192 21037440 25420240 28049920 30504288 38130360 40672384 42074880 50840480 61008576 76260720 81344768 84149760 101680960 122017152 152521440 162689536 203361920 244034304 305042880 406723840 488068608 610085760 813447680 1220171520 2440343040