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34113936 = 2431395113
BaseRepresentation
bin1000001000100…
…0100110010000
32101012011112010
42002020212100
532213121221
63215102520
7562651353
oct202104620
971164463
1034113936
111829033a
12b511a40
1370b567c
14476029a
152edcc76
hex2088990

34113936 has 40 divisors (see below), whose sum is σ = 88779040. Its totient is φ = 11287296.

The previous prime is 34113929. The next prime is 34113941. The reversal of 34113936 is 63931143.

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 7 ways as a sum of consecutive naturals, for example, 4116 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (2219476).

Almost surely, 234113936 is an apocalyptic number.

It is an amenable number.

34113936 is an abundant number, since it is smaller than the sum of its proper divisors (54665104).

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

34113936 is a wasteful number, since it uses less digits than its factorization.

34113936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5257 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 34113936 is about 5840.7136550254. The cubic root of 34113936 is about 324.3226476520.

The spelling of 34113936 in words is "thirty-four million, one hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 3336 5113 6672 10226 15339 20452 30678 40904 61356 81808 122712 245424 710707 1421414 2132121 2842828 4264242 5685656 8528484 11371312 17056968 34113936