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31304403424 = 257256335461
BaseRepresentation
bin11101001001111000…
…110100100111100000
32222210122202110111001
4131021320310213200
51003102411402144
622214150001344
72155516016200
oct351170644740
988718673431
1031304403424
1112304579698
126097946254
132c4b6b2448
14172d794400
15c333d8bd4
hex749e349e0

31304403424 has 72 divisors (see below), whose sum is σ = 71822039688. Its totient is φ = 13391965440.

The previous prime is 31304403379. The next prime is 31304403433. The reversal of 31304403424 is 42430440313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31304403392 and 31304403401.

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 11 ways as a sum of consecutive naturals, for example, 865054 + ... + 900514.

It is an arithmetic number, because the mean of its divisors is an integer number (997528329).

Almost surely, 231304403424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31304403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35911019844).

31304403424 is an abundant number, since it is smaller than the sum of its proper divisors (40517636264).

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

31304403424 is a wasteful number, since it uses less digits than its factorization.

31304403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36048 (or 36033 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 31304403424 its reverse (42430440313), we get a palindrome (73734843737).

The spelling of 31304403424 in words is "thirty-one billion, three hundred four million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 563 784 1126 1568 2252 3941 4504 7882 9008 15764 18016 27587 31528 35461 55174 63056 70922 110348 126112 141844 220696 248227 283688 441392 496454 567376 882784 992908 1134752 1737589 1985816 3475178 3971632 6950356 7943264 13900712 19964543 27801424 39929086 55602848 79858172 139751801 159716344 279503602 319432688 559007204 638865376 978262607 1118014408 1956525214 2236028816 3913050428 4472057632 7826100856 15652201712 31304403424