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34381688 = 23112316987
BaseRepresentation
bin1000001100100…
…1111101111000
32101200202210212
42003021331320
532300203223
63224530252
7565145105
oct203117570
971622725
1034381688
1118453520
12b620988
13717a4c3
1447cdaac
153042278
hex20c9f78

34381688 has 32 divisors (see below), whose sum is σ = 73388160. Its totient is φ = 14947680.

The previous prime is 34381687. The next prime is 34381693. The reversal of 34381688 is 88618343.

It is a happy number.

34381688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381681) 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 7 ways as a sum of consecutive naturals, for example, 6470 + ... + 10517.

It is an arithmetic number, because the mean of its divisors is an integer number (2293380).

Almost surely, 234381688 is an apocalyptic number.

It is an amenable number.

34381688 is an abundant number, since it is smaller than the sum of its proper divisors (39006472).

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

34381688 is a wasteful number, since it uses less digits than its factorization.

34381688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17027 (or 17023 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 34381688 is about 5863.5900265963. The cubic root of 34381688 is about 325.1689472681.

The spelling of 34381688 in words is "thirty-four million, three hundred eighty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 16987 33974 67948 135896 186857 373714 390701 747428 781402 1494856 1562804 3125608 4297711 8595422 17190844 34381688