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331884972 = 223317532
BaseRepresentation
bin10011110010000…
…010100110101100
3212010111111121000
4103302002212230
51134430304342
652533240300
711136655446
oct2362024654
9763444530
10331884972
11160382101
1293193090
13539b2a53
1432113496
151e20b44c
hex13c829ac

331884972 has 36 divisors (see below), whose sum is σ = 860933640. Its totient is φ = 110565216.

The previous prime is 331884941. The next prime is 331884997. The reversal of 331884972 is 279488133.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3318849722 = 220295269278881568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188448 + ... + 190200.

Almost surely, 2331884972 is an apocalyptic number.

It is an amenable number.

331884972 is an abundant number, since it is smaller than the sum of its proper divisors (529048668).

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

331884972 is an equidigital number, since it uses as much as digits as its factorization.

331884972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 1758 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 331884972 is about 18217.7103940095. The cubic root of 331884972 is about 692.3555786706.

The spelling of 331884972 in words is "three hundred thirty-one million, eight hundred eighty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1753 3506 5259 7012 10518 15777 21036 31554 47331 63108 94662 189324 3073009 6146018 9219027 12292036 18438054 27657081 36876108 55314162 82971243 110628324 165942486 331884972