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34053312 = 2631710433
BaseRepresentation
bin1000000111100…
…1110011000000
32101002002100210
42001321303000
532204201222
63213514120
7562306536
oct201716300
971062323
1034053312
1118249837
12b4a2940
137093bb7
144746156
152ec9d0c
hex2079cc0

34053312 has 56 divisors (see below), whose sum is σ = 95408496. Its totient is φ = 10682368.

The previous prime is 34053289. The next prime is 34053347. The reversal of 34053312 is 21335043.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1953 + ... + 8480.

Almost surely, 234053312 is an apocalyptic number.

34053312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34053312 is an abundant number, since it is smaller than the sum of its proper divisors (61355184).

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

34053312 is a wasteful number, since it uses less digits than its factorization.

34053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465 (or 10455 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 34053312 is about 5835.5215705196. The cubic root of 34053312 is about 324.1304154150.

Adding to 34053312 its reverse (21335043), we get a palindrome (55388355).

The spelling of 34053312 in words is "thirty-four million, fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 10433 20866 31299 41732 62598 83464 125196 166928 177361 250392 333856 354722 500784 532083 667712 709444 1001568 1064166 1418888 2003136 2128332 2837776 4256664 5675552 8513328 11351104 17026656 34053312