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331714080 = 25325230357
BaseRepresentation
bin10011110001011…
…000111000100000
3212010011211011200
4103301120320200
51134404322310
652525441200
711135344305
oct2361307040
9763154150
10331714080
11160275775
1293110200
1353953029
14320ab0ac
151e1c59c0
hex13c58e20

331714080 has 72 divisors (see below), whose sum is σ = 1131979212. Its totient is φ = 88456704.

The previous prime is 331714079. The next prime is 331714091. The reversal of 331714080 is 80417133.

It can be written as a sum of positive squares in 2 ways, for example, as 328769424 + 2944656 = 18132^2 + 1716^2 .

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

It is a super-2 number, since 2×3317140802 = 220068461740492800, which contains 22 as substring.

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, 113739 + ... + 116618.

Almost surely, 2331714080 is an apocalyptic number.

331714080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331714080 is an abundant number, since it is smaller than the sum of its proper divisors (800265132).

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

331714080 is a wasteful number, since it uses less digits than its factorization.

331714080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230378 (or 230367 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 331714080 is about 18213.0195190144. The cubic root of 331714080 is about 692.2367238934.

The spelling of 331714080 in words is "three hundred thirty-one million, seven hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 230357 460714 691071 921428 1151785 1382142 1842856 2073213 2303570 2764284 3455355 3685712 4146426 4607140 5528568 6910710 7371424 8292852 9214280 10366065 11057136 13821420 16585704 18428560 20732130 22114272 27642840 33171408 36857120 41464260 55285680 66342816 82928520 110571360 165857040 331714080