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332164431 = 32293125963
BaseRepresentation
bin10011110011000…
…110110101001111
3212011000200221100
4103303012311033
51140013230211
652543234143
711142231264
oct2363066517
9764020840
10332164431
11160553065
12932a8953
1353a80001
143218726b
151e264156
hex13cc6d4f

332164431 has 12 divisors (see below), whose sum is σ = 481434408. Its totient is φ = 220685424.

The previous prime is 332164421. The next prime is 332164433. The reversal of 332164431 is 134461233.

332164431 is a `hidden beast` number, since 3 + 3 + 216 + 443 + 1 = 666.

It is not a de Polignac number, because 332164431 - 218 = 331902287 is a prime.

It is a super-2 number, since 2×3321644312 = 220666418443107522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332164395 and 332164404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332164433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60345 + ... + 65618.

It is an arithmetic number, because the mean of its divisors is an integer number (40119534).

Almost surely, 2332164431 is an apocalyptic number.

332164431 is a deficient number, since it is larger than the sum of its proper divisors (149269977).

332164431 is a wasteful number, since it uses less digits than its factorization.

332164431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126262 (or 126259 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 332164431 is about 18225.3787614963. The cubic root of 332164431 is about 692.5498535271.

The spelling of 332164431 in words is "three hundred thirty-two million, one hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 293 879 2637 125963 377889 1133667 36907159 110721477 332164431