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1313326944 = 253229157247
BaseRepresentation
bin100111001000111…
…1100011101100000
310101112020220212200
41032101330131200
510142202430234
6334153053200
744355044346
oct11621743540
93345226780
101313326944
1161437aa76
123079b7200
1317c122c47
14c65cd996
157a473d99
hex4e47c760

1313326944 has 72 divisors (see below), whose sum is σ = 3863583360. Its totient is φ = 422677248.

The previous prime is 1313326907. The next prime is 1313327017. The reversal of 1313326944 is 4496233131.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1313326899 and 1313326908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70272 + ... + 86975.

It is an arithmetic number, because the mean of its divisors is an integer number (53660880).

Almost surely, 21313326944 is an apocalyptic number.

It is an amenable number.

1313326944 is an abundant number, since it is smaller than the sum of its proper divisors (2550256416).

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

1313326944 is a wasteful number, since it uses less digits than its factorization.

1313326944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157292 (or 157281 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 1313326944 is about 36239.8529798342. The cubic root of 1313326944 is about 1095.1096806379.

The spelling of 1313326944 in words is "one billion, three hundred thirteen million, three hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 157247 314494 471741 628988 943482 1257976 1415223 1886964 2515952 2830446 3773928 4560163 5031904 5660892 7547856 9120326 11321784 13680489 15095712 18240652 22643568 27360978 36481304 41041467 45287136 54721956 72962608 82082934 109443912 145925216 164165868 218887824 328331736 437775648 656663472 1313326944