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331351072 = 2513796517
BaseRepresentation
bin10011110000000…
…000010000100000
3212002111101012221
4103300000100200
51134311213242
652514000424
711132303053
oct2360002040
9762441187
10331351072
11160047a68
1292b76114
1353856a30
1432014a9a
151e153167
hex13c00420

331351072 has 24 divisors (see below), whose sum is σ = 702528876. Its totient is φ = 152931072.

The previous prime is 331351067. The next prime is 331351093. The reversal of 331351072 is 270153133.

It can be written as a sum of positive squares in 2 ways, for example, as 273042576 + 58308496 = 16524^2 + 7636^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 397843 + ... + 398674.

Almost surely, 2331351072 is an apocalyptic number.

331351072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331351072 is an abundant number, since it is smaller than the sum of its proper divisors (371177804).

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

331351072 is a wasteful number, since it uses less digits than its factorization.

331351072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796540 (or 796532 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 331351072 is about 18203.0511728117. The cubic root of 331351072 is about 691.9841176036.

The spelling of 331351072 in words is "three hundred thirty-one million, three hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 796517 1593034 3186068 6372136 10354721 12744272 20709442 25488544 41418884 82837768 165675536 331351072