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34213408 = 255320173
BaseRepresentation
bin1000001010000…
…0111000100000
32101101012222021
42002200320200
532224312113
63221151224
7563544355
oct202407040
971335867
1034213408
1118349049
12b55b514
13711ba28
14478862c
15300c48d
hex20a0e20

34213408 has 24 divisors (see below), whose sum is σ = 68631948. Its totient is φ = 16783104.

The previous prime is 34213391. The next prime is 34213441. The reversal of 34213408 is 80431243.

It can be written as a sum of positive squares in 2 ways, for example, as 26749584 + 7463824 = 5172^2 + 2732^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8391 + ... + 11782.

Almost surely, 234213408 is an apocalyptic number.

It is an amenable number.

34213408 is an abundant number, since it is smaller than the sum of its proper divisors (34418540).

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

34213408 is a wasteful number, since it uses less digits than its factorization.

34213408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20236 (or 20228 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 34213408 is about 5849.2228543628. Note that the first 3 decimals coincide. The cubic root of 34213408 is about 324.6375699438.

The spelling of 34213408 in words is "thirty-four million, two hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 20173 40346 80692 161384 322768 645536 1069169 2138338 4276676 8553352 17106704 34213408