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34680810 = 2352939863
BaseRepresentation
bin1000010001001…
…0111111101010
32102020222010110
42010102333222
532334241220
63235155150
7600532143
oct204227752
972228113
1034680810
111863822a
12b745ab6
1372536b8
14486aaca
1530a0be0
hex2112fea

34680810 has 32 divisors (see below), whose sum is σ = 86106240. Its totient is φ = 8929088.

The previous prime is 34680797. The next prime is 34680817. The reversal of 34680810 is 1808643.

It is a happy number.

34680810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×346808102 = 2405517164512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34680817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19062 + ... + 20801.

It is an arithmetic number, because the mean of its divisors is an integer number (2690820).

Almost surely, 234680810 is an apocalyptic number.

34680810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34680810 is an abundant number, since it is smaller than the sum of its proper divisors (51425430).

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

34680810 is a wasteful number, since it uses less digits than its factorization.

34680810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39902.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 34680810 is about 5889.0415179382. The cubic root of 34680810 is about 326.1092198056.

The spelling of 34680810 in words is "thirty-four million, six hundred eighty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 39863 79726 119589 199315 239178 398630 597945 1156027 1195890 2312054 3468081 5780135 6936162 11560270 17340405 34680810