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331713696 = 25343107751
BaseRepresentation
bin10011110001011…
…000110010100000
3212010011210122110
4103301120302200
51134404314241
652525435320
711135343216
oct2361306240
9763153573
10331713696
11160275456
129310bb40
1353952ac2
14320aacb6
151e1c5816
hex13c58ca0

331713696 has 96 divisors (see below), whose sum is σ = 900523008. Its totient is φ = 106848000.

The previous prime is 331713689. The next prime is 331713721. The reversal of 331713696 is 696317133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3317136962 = 220067952227960832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441321 + ... + 442071.

It is an arithmetic number, because the mean of its divisors is an integer number (9380448).

Almost surely, 2331713696 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 331713696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450261504).

331713696 is an abundant number, since it is smaller than the sum of its proper divisors (568809312).

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

331713696 is a wasteful number, since it uses less digits than its factorization.

331713696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 331713696 is about 18213.0089771021. The cubic root of 331713696 is about 692.2364567768.

The spelling of 331713696 in words is "three hundred thirty-one million, seven hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 107 129 172 214 258 321 344 428 516 642 688 751 856 1032 1284 1376 1502 1712 2064 2253 2568 3004 3424 4128 4506 4601 5136 6008 9012 9202 10272 12016 13803 18024 18404 24032 27606 32293 36048 36808 55212 64586 72096 73616 80357 96879 110424 129172 147232 160714 193758 220848 241071 258344 321428 387516 441696 482142 516688 642856 775032 964284 1033376 1285712 1550064 1928568 2571424 3100128 3455351 3857136 6910702 7714272 10366053 13821404 20732106 27642808 41464212 55285616 82928424 110571232 165856848 331713696