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34355016 = 233453017
BaseRepresentation
bin1000001100001…
…1011101001000
32101122102020000
42003003131020
532243330031
63224203000
7565004253
oct203033510
971572200
1034355016
1118435483
12b609460
13716b317
1447c409a
1530393e6
hex20c3748

34355016 has 40 divisors (see below), whose sum is σ = 96227670. Its totient is φ = 11451456.

The previous prime is 34354993. The next prime is 34355033. The reversal of 34355016 is 61055343.

It can be written as a sum of positive squares in only one way, i.e., 20738916 + 13616100 = 4554^2 + 3690^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25861 + ... + 27156.

Almost surely, 234355016 is an apocalyptic number.

34355016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34355016 is an abundant number, since it is smaller than the sum of its proper divisors (61872654).

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

34355016 is a wasteful number, since it uses less digits than its factorization.

34355016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53035 (or 53022 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 34355016 is about 5861.3152107697. The cubic root of 34355016 is about 325.0848409668.

Subtracting from 34355016 its product of nonzero digits (5400), we obtain a triangular number (34349616 = T8288).

The spelling of 34355016 in words is "thirty-four million, three hundred fifty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 53017 106034 159051 212068 318102 424136 477153 636204 954306 1272408 1431459 1908612 2862918 3817224 4294377 5725836 8588754 11451672 17177508 34355016