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165029934 = 23191447631
BaseRepresentation
bin10011101011000…
…10100000101110
3102111112101111210
421311202200232
5314221424214
624213055250
74042505556
oct1165424056
9374471453
10165029934
1185178483
1247327526
1328262064
1417cbc166
15e74cb59
hex9d6282e

165029934 has 16 divisors (see below), whose sum is σ = 347431680. Its totient is φ = 52114680.

The previous prime is 165029933. The next prime is 165029951. The reversal of 165029934 is 439920561.

165029934 = T324 + T325 + ... + T1007.

It is a junction number, because it is equal to n+sod(n) for n = 165029892 and 165029901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165029933) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 723702 + ... + 723929.

It is an arithmetic number, because the mean of its divisors is an integer number (21714480).

Almost surely, 2165029934 is an apocalyptic number.

165029934 is an abundant number, since it is smaller than the sum of its proper divisors (182401746).

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

165029934 is a wasteful number, since it uses less digits than its factorization.

165029934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447655.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 165029934 is about 12846.3977051935. The cubic root of 165029934 is about 548.5138213588.

The spelling of 165029934 in words is "one hundred sixty-five million, twenty-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 114 1447631 2895262 4342893 8685786 27504989 55009978 82514967 165029934