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34440164 = 221117411123
BaseRepresentation
bin1000001101100…
…0001111100100
32101210202000122
42003120033210
532304041124
63230101112
7565510433
oct203301744
971722018
1034440164
1118493450
12b64a798
13719acc5
14480711a
15305475e
hex20d83e4

34440164 has 48 divisors (see below), whose sum is σ = 71378496. Its totient is φ = 14361600.

The previous prime is 34440157. The next prime is 34440257. The reversal of 34440164 is 46104443.

It is a super-2 number, since 2×344401642 = 2372249792693792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30107 + ... + 31229.

It is an arithmetic number, because the mean of its divisors is an integer number (1487052).

Almost surely, 234440164 is an apocalyptic number.

34440164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34440164 is an abundant number, since it is smaller than the sum of its proper divisors (36938332).

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

34440164 is a wasteful number, since it uses less digits than its factorization.

34440164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 34440164 is about 5868.5742731945. The cubic root of 34440164 is about 325.3531907875.

The spelling of 34440164 in words is "thirty-four million, four hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 41 44 68 82 164 187 374 451 697 748 902 1123 1394 1804 2246 2788 4492 7667 12353 15334 19091 24706 30668 38182 46043 49412 76364 92086 184172 210001 420002 506473 782731 840004 1012946 1565462 2025892 3130924 8610041 17220082 34440164