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34080408 = 23323115269
BaseRepresentation
bin1000001000000…
…0011010011000
32101010110112100
42002000122120
532211033113
63214243400
7562451535
oct202003230
971113470
1034080408
111826812a
12b4b6560
1370a332b
144751d8c
152ed2d73
hex2080698

34080408 has 48 divisors (see below), whose sum is σ = 95284800. Its totient is φ = 10992960.

The previous prime is 34080401. The next prime is 34080419. The reversal of 34080408 is 80408043.

It is a super-2 number, since 2×340804082 = 2322948418892928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34080401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5403 + ... + 9866.

It is an arithmetic number, because the mean of its divisors is an integer number (1985100).

Almost surely, 234080408 is an apocalyptic number.

It is an amenable number.

34080408 is an abundant number, since it is smaller than the sum of its proper divisors (61204392).

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

34080408 is a wasteful number, since it uses less digits than its factorization.

34080408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15312 (or 15305 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34080408 is about 5837.8427522502. The cubic root of 34080408 is about 324.2163621147.

The spelling of 34080408 in words is "thirty-four million, eighty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 15269 30538 45807 61076 91614 122152 137421 183228 274842 366456 473339 549684 946678 1099368 1420017 1893356 2840034 3786712 4260051 5680068 8520102 11360136 17040204 34080408