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34129908 = 2232948053
BaseRepresentation
bin1000001000110…
…0011111110100
32101012222102200
42002030133310
532214124113
63215304500
7563046051
oct202143764
971188380
1034129908
11182a133a
12b51b130
1370bca17
144766028
152ee2873
hex208c7f4

34129908 has 18 divisors (see below), whose sum is σ = 86272914. Its totient is φ = 11376624.

The previous prime is 34129891. The next prime is 34129919. The reversal of 34129908 is 80992143.

It can be written as a sum of positive squares in only one way, i.e., 30603024 + 3526884 = 5532^2 + 1878^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 948053 = 34129908 / (3 + 4 + 1 + 2 + 9 + 9 + 0 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 473991 + ... + 474062.

Almost surely, 234129908 is an apocalyptic number.

It is an amenable number.

34129908 is an abundant number, since it is smaller than the sum of its proper divisors (52143006).

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

34129908 is a wasteful number, since it uses less digits than its factorization.

34129908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948063 (or 948058 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 34129908 is about 5842.0807936899. The cubic root of 34129908 is about 324.3732552503.

The spelling of 34129908 in words is "thirty-four million, one hundred twenty-nine thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 948053 1896106 2844159 3792212 5688318 8532477 11376636 17064954 34129908