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3128371440 = 243524175393
BaseRepresentation
bin1011101001110111…
…0010100011110000
322002000120201211220
42322131302203300
522401330341230
61234231505040
7140344501305
oct27235624360
98060521756
103128371440
11136597a847
12733828180
133ab17c97c
142196a10ac
1513499ed10
hexba7728f0

3128371440 has 80 divisors (see below), whose sum is σ = 9703762848. Its totient is φ = 833732608.

The previous prime is 3128371429. The next prime is 3128371453. The reversal of 3128371440 is 441738213.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577384 + ... + 582776.

Almost surely, 23128371440 is an apocalyptic number.

3128371440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3128371440 is an abundant number, since it is smaller than the sum of its proper divisors (6575391408).

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

3128371440 is a wasteful number, since it uses less digits than its factorization.

3128371440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3128371440 is about 55931.8463846850. The cubic root of 3128371440 is about 1462.5344481622.

The spelling of 3128371440 in words is "three billion, one hundred twenty-eight million, three hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2417 4834 5393 7251 9668 10786 12085 14502 16179 19336 21572 24170 26965 29004 32358 36255 38672 43144 48340 53930 58008 64716 72510 80895 86288 96680 107860 116016 129432 145020 161790 193360 215720 258864 290040 323580 431440 580080 647160 1294320 13034881 26069762 39104643 52139524 65174405 78209286 104279048 130348810 156418572 195523215 208558096 260697620 312837144 391046430 521395240 625674288 782092860 1042790480 1564185720 3128371440