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34372 = 2213661
BaseRepresentation
bin1000011001000100
31202011001
420121010
52044442
6423044
7202132
oct103104
952131
1034372
1123908
1217a84
1312850
14c752
15a2b7
hex8644

34372 has 12 divisors (see below), whose sum is σ = 64876. Its totient is φ = 15840.

The previous prime is 34369. The next prime is 34381. The reversal of 34372 is 27343.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 18496 = 126^2 + 136^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279 + ... + 382.

234372 is an apocalyptic number.

It is an amenable number.

34372 is a deficient number, since it is larger than the sum of its proper divisors (30504).

34372 is a wasteful number, since it uses less digits than its factorization.

34372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 676 counting only the distinct ones).

The product of its digits is 504, while the sum is 19.

The square root of 34372 is about 185.3968716025. The cubic root of 34372 is about 32.5138402591.

It can be divided in two parts, 34 and 372, that added together give a triangular number (406 = T28).

The spelling of 34372 in words is "thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 4 13 26 52 661 1322 2644 8593 17186 34372