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3043242240 = 28352334457
BaseRepresentation
bin1011010101100100…
…0011000100000000
321212002101201112120
42311121003010000
522213032222430
61221551124240
7135262063233
oct26531030400
97762351476
103043242240
111321915a35
1270b213680
13396644a6c
1420c26141a
1512c286610
hexb5643100

3043242240 has 144 divisors (see below), whose sum is σ = 10142229888. Its totient is φ = 776224768.

The previous prime is 3043242229. The next prime is 3043242247. The reversal of 3043242240 is 422423403.

It is a super-2 number, since 2×30432422402 = 18522646662640435200, which contains 22 as substring.

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 3043242240.

It is not an unprimeable number, because it can be changed into a prime (3043242247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71092 + ... + 105548.

It is an arithmetic number, because the mean of its divisors is an integer number (70432152).

Almost surely, 23043242240 is an apocalyptic number.

3043242240 is a gapful number since it is divisible by the number (30) 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 3043242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071114944).

3043242240 is an abundant number, since it is smaller than the sum of its proper divisors (7098987648).

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

3043242240 is a wasteful number, since it uses less digits than its factorization.

3043242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34504 (or 34490 counting only the distinct ones).

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

The square root of 3043242240 is about 55165.5892744744. The cubic root of 3043242240 is about 1449.1461068398.

Adding to 3043242240 its reverse (422423403), we get a palindrome (3465665643).

The spelling of 3043242240 in words is "three billion, forty-three million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2760 2944 3680 3840 4416 5520 5888 7360 8832 11040 14720 17664 22080 29440 34457 44160 68914 88320 103371 137828 172285 206742 275656 344570 413484 516855 551312 689140 792511 826968 1033710 1102624 1378280 1585022 1653936 2067420 2205248 2377533 2756560 3170044 3307872 3962555 4134840 4410496 4755066 5513120 6340088 6615744 7925110 8269680 8820992 9510132 11026240 11887665 12680176 13231488 15850220 16539360 19020264 22052480 23775330 25360352 26462976 31700440 33078720 38040528 44104960 47550660 50720704 63400880 66157440 76081056 95101320 101441408 126801760 132314880 152162112 190202640 202882816 253603520 304324224 380405280 507207040 608648448 760810560 1014414080 1521621120 3043242240