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34580680 = 2352773121
BaseRepresentation
bin1000001111101…
…0100011001000
32102001212202221
42003322203020
532323040210
63233103424
7566634211
oct203724310
972055687
1034580680
1118579a82
12b6b7b74
137219c54
144842408
1530811da
hex20fa8c8

34580680 has 32 divisors (see below), whose sum is σ = 78112440. Its totient is φ = 13777920.

The previous prime is 34580677. The next prime is 34580713. The reversal of 34580680 is 8608543.

It can be written as a sum of positive squares in 4 ways, for example, as 9400356 + 25180324 = 3066^2 + 5018^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9520 + ... + 12640.

Almost surely, 234580680 is an apocalyptic number.

It is an amenable number.

34580680 is an abundant number, since it is smaller than the sum of its proper divisors (43531760).

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

34580680 is a wasteful number, since it uses less digits than its factorization.

34580680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 34580680 is about 5880.5339893584. The cubic root of 34580680 is about 325.7950711251.

The spelling of 34580680 in words is "thirty-four million, five hundred eighty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 277 554 1108 1385 2216 2770 3121 5540 6242 11080 12484 15605 24968 31210 62420 124840 864517 1729034 3458068 4322585 6916136 8645170 17290340 34580680