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34525968 = 2431096599
BaseRepresentation
bin1000001110110…
…1001100010000
32101222002201120
42003231030100
532314312333
63232002240
7566315541
oct203551420
971862646
1034525968
1118541964
12b690380
1371cb089
14482a4c8
15306edb3
hex20ed310

34525968 has 40 divisors (see below), whose sum is σ = 90024000. Its totient is φ = 11401344.

The previous prime is 34525943. The next prime is 34525969. The reversal of 34525968 is 86952543.

It is not an unprimeable number, because it can be changed into a prime (34525969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1933 + ... + 8531.

It is an arithmetic number, because the mean of its divisors is an integer number (2250600).

Almost surely, 234525968 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 34525968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012000).

34525968 is an abundant number, since it is smaller than the sum of its proper divisors (55498032).

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

34525968 is a wasteful number, since it uses less digits than its factorization.

34525968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6713 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 34525968 is about 5875.8801893844. The cubic root of 34525968 is about 325.6231609835.

The spelling of 34525968 in words is "thirty-four million, five hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 6599 13198 19797 26396 39594 52792 79188 105584 158376 316752 719291 1438582 2157873 2877164 4315746 5754328 8631492 11508656 17262984 34525968