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1024243440 = 243511387971
BaseRepresentation
bin111101000011001…
…011011011110000
32122101021221212020
4331003023123300
54044201242230
6245345031440
734244632323
oct7503133360
92571257766
101024243440
11486182290
12247025580
13134277c0c
149a05c7ba
155edbe810
hex3d0cb6f0

1024243440 has 80 divisors (see below), whose sum is σ = 3463814016. Its totient is φ = 248300800.

The previous prime is 1024243403. The next prime is 1024243447. The reversal of 1024243440 is 443424201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 1024243440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024243447) 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, 191346 + ... + 196625.

Almost surely, 21024243440 is an apocalyptic number.

1024243440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024243440 is an abundant number, since it is smaller than the sum of its proper divisors (2439570576).

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

1024243440 is a wasteful number, since it uses less digits than its factorization.

1024243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387998 (or 387992 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1024243440 is about 32003.8035239563. The cubic root of 1024243440 is about 1008.0167073320.

Adding to 1024243440 its reverse (443424201), we get a palindrome (1467667641).

The spelling of 1024243440 in words is "one billion, twenty-four million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 387971 775942 1163913 1551884 1939855 2327826 3103768 3879710 4267681 4655652 5819565 6207536 7759420 8535362 9311304 11639130 12803043 15518840 17070724 18622608 21338405 23278260 25606086 31037680 34141448 42676810 46556520 51212172 64015215 68282896 85353620 93113040 102424344 128030430 170707240 204848688 256060860 341414480 512121720 1024243440