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34113204 = 22332631201
BaseRepresentation
bin1000001000100…
…0011010110100
32101012010112000
42002020122310
532213110304
63215055300
7562646256
oct202103264
971163460
1034113204
111828a834
12b511530
1370b5238
14475dcd6
152edc939
hex20886b4

34113204 has 48 divisors (see below), whose sum is σ = 88851840. Its totient is φ = 11318400.

The previous prime is 34113197. The next prime is 34113217. The reversal of 34113204 is 40231143.

34113204 is a `hidden beast` number, since 341 + 1 + 320 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27804 + ... + 29004.

It is an arithmetic number, because the mean of its divisors is an integer number (1851080).

Almost surely, 234113204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34113204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44425920).

34113204 is an abundant number, since it is smaller than the sum of its proper divisors (54738636).

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

34113204 is a wasteful number, since it uses less digits than its factorization.

34113204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34113204 is about 5840.6509911139. The cubic root of 34113204 is about 324.3203279170.

Adding to 34113204 its reverse (40231143), we get a palindrome (74344347).

The spelling of 34113204 in words is "thirty-four million, one hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 526 789 1052 1201 1578 2367 2402 3156 3603 4734 4804 7101 7206 9468 10809 14202 14412 21618 28404 32427 43236 64854 129708 315863 631726 947589 1263452 1895178 2842767 3790356 5685534 8528301 11371068 17056602 34113204