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34166272 = 2979533
BaseRepresentation
bin1000001001010…
…1011000000000
32101021211022111
42002111120000
532221310042
63220145104
7563260060
oct202253000
971254274
1034166272
1118316698
12b538194
13710343a
1447753a0
152eed517
hex2095600

34166272 has 40 divisors (see below), whose sum is σ = 78026256. Its totient is φ = 14641152.

The previous prime is 34166261. The next prime is 34166303. The reversal of 34166272 is 27266143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1183 + ... + 8350.

Almost surely, 234166272 is an apocalyptic number.

34166272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34166272 is an abundant number, since it is smaller than the sum of its proper divisors (43859984).

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

34166272 is an frugal number, since it uses more digits than its factorization.

34166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558 (or 9542 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 34166272 is about 5845.1922124084. The cubic root of 34166272 is about 324.4884164390.

The spelling of 34166272 in words is "thirty-four million, one hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 9533 19066 38132 66731 76264 133462 152528 266924 305056 533848 610112 1067696 1220224 2135392 2440448 4270784 4880896 8541568 17083136 34166272