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34135956 = 22322341227
BaseRepresentation
bin1000001000110…
…1111110010100
32101020021201200
42002031332110
532214322311
63215352500
7563102511
oct202157624
971207650
1034135956
11182a5938
12b522730
1370c26ba
144768308
152ee4556
hex208df94

34135956 has 36 divisors (see below), whose sum is σ = 90041952. Its totient is φ = 10883664.

The previous prime is 34135939. The next prime is 34135967. The reversal of 34135956 is 65953143.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34135956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19786 + ... + 21441.

Almost surely, 234135956 is an apocalyptic number.

34135956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34135956 is an abundant number, since it is smaller than the sum of its proper divisors (55905996).

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

34135956 is a wasteful number, since it uses less digits than its factorization.

34135956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41260 (or 41255 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 34135956 is about 5842.5983945502. The cubic root of 34135956 is about 324.3924143368.

The spelling of 34135956 in words is "thirty-four million, one hundred thirty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 41227 82454 123681 164908 247362 371043 494724 742086 948221 1484172 1896442 2844663 3792884 5689326 8533989 11378652 17067978 34135956