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34525680 = 2435720551
BaseRepresentation
bin1000001110110…
…1000111110000
32101222002022220
42003231013300
532314310210
63232001040
7566314650
oct203550760
971862286
1034525680
1118541722
12b690180
1371cabc7
14482a360
15306ec70
hex20ed1f0

34525680 has 80 divisors (see below), whose sum is σ = 122325504. Its totient is φ = 7891200.

The previous prime is 34525663. The next prime is 34525709. The reversal of 34525680 is 8652543.

It is a tau number, because it is divible by the number of its divisors (80).

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, 8596 + ... + 11955.

Almost surely, 234525680 is an apocalyptic number.

34525680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34525680 is an abundant number, since it is smaller than the sum of its proper divisors (87799824).

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

34525680 is a wasteful number, since it uses less digits than its factorization.

34525680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20574 (or 20568 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 34525680 is about 5875.8556823666. The cubic root of 34525680 is about 325.6222555806.

The spelling of 34525680 in words is "thirty-four million, five hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 20551 41102 61653 82204 102755 123306 143857 164408 205510 246612 287714 308265 328816 411020 431571 493224 575428 616530 719285 822040 863142 986448 1150856 1233060 1438570 1644080 1726284 2157855 2301712 2466120 2877140 3452568 4315710 4932240 5754280 6905136 8631420 11508560 17262840 34525680