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34314876 = 2232953191
BaseRepresentation
bin1000001011100…
…1101001111100
32101120101011100
42002321221330
532241034001
63223253100
7564446241
oct202715174
971511140
1034314876
1118408302
12b5aa190
137155c7b
1447b35c8
15302c586
hex20b9a7c

34314876 has 18 divisors (see below), whose sum is σ = 86740472. Its totient is φ = 11438280.

The previous prime is 34314871. The next prime is 34314887. The reversal of 34314876 is 67841343.

34314876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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: 953191 = 34314876 / (3 + 4 + 3 + 1 + 4 + 8 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 34314876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314871) 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 5 ways as a sum of consecutive naturals, for example, 476560 + ... + 476631.

Almost surely, 234314876 is an apocalyptic number.

34314876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34314876 is an abundant number, since it is smaller than the sum of its proper divisors (52425596).

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

34314876 is a wasteful number, since it uses less digits than its factorization.

34314876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953201 (or 953196 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34314876 is about 5857.8900638370. The cubic root of 34314876 is about 324.9581831799.

The spelling of 34314876 in words is "thirty-four million, three hundred fourteen thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 953191 1906382 2859573 3812764 5719146 8578719 11438292 17157438 34314876