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34268157 = 3371153311
BaseRepresentation
bin1000001010111…
…0001111111101
32101111000002000
42002232033331
532233040112
63222252513
7564163110
oct202561775
971430060
1034268157
11183861a0
12b587139
13713a921
1447a0577
15301d7dc
hex20ae3fd

34268157 has 64 divisors (see below), whose sum is σ = 64696320. Its totient is φ = 17409600.

The previous prime is 34268131. The next prime is 34268161. The reversal of 34268157 is 75186243.

It is not a de Polignac number, because 34268157 - 26 = 34268093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34268167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110032 + ... + 110342.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 234268157 is an apocalyptic number.

It is an amenable number.

34268157 is a deficient number, since it is larger than the sum of its proper divisors (30428163).

34268157 is a wasteful number, since it uses less digits than its factorization.

34268157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 34268157 is about 5853.9010070209. The cubic root of 34268157 is about 324.8106415671.

The spelling of 34268157 in words is "thirty-four million, two hundred sixty-eight thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 11 21 27 33 53 63 77 99 159 189 231 297 311 371 477 583 693 933 1113 1431 1749 2079 2177 2799 3339 3421 4081 5247 6531 8397 10017 10263 12243 15741 16483 19593 23947 30789 36729 49449 58779 71841 92367 110187 115381 148347 181313 215523 346143 445041 543939 646569 1038429 1269191 1631817 3115287 3807573 4895451 11422719 34268157