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34314492 = 22316717123
BaseRepresentation
bin1000001011100…
…1100011111100
32101120100122010
42002321203330
532241030432
63223251220
7564445152
oct202714374
971510563
1034314492
1118407a93
12b5a9b10
137155a44
1447b33d2
15302c3cc
hex20b98fc

34314492 has 24 divisors (see below), whose sum is σ = 80551296. Its totient is φ = 11369008.

The previous prime is 34314491. The next prime is 34314509. The reversal of 34314492 is 29441343.

34314492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×343144923 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314491) 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, 6558 + ... + 10565.

It is an arithmetic number, because the mean of its divisors is an integer number (3356304).

Almost surely, 234314492 is an apocalyptic number.

It is an amenable number.

34314492 is an abundant number, since it is smaller than the sum of its proper divisors (46236804).

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

34314492 is a wasteful number, since it uses less digits than its factorization.

34314492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17297 (or 17295 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 34314492 is about 5857.8572874388. The cubic root of 34314492 is about 324.9569710292.

The spelling of 34314492 in words is "thirty-four million, three hundred fourteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 167 334 501 668 1002 2004 17123 34246 51369 68492 102738 205476 2859541 5719082 8578623 11438164 17157246 34314492