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34210064 = 2472811087
BaseRepresentation
bin1000001010000…
…0000100010000
32101101001101102
42002200010100
532224210224
63221123532
7563531540
oct202400420
971331342
1034210064
1118346589
12b5595a8
13711a355
144787320
15300b4ae
hex20a0110

34210064 has 40 divisors (see below), whose sum is σ = 76090368. Its totient is φ = 14595840.

The previous prime is 34210037. The next prime is 34210067. The reversal of 34210064 is 46001243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34210067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30929 + ... + 32015.

Almost surely, 234210064 is an apocalyptic number.

It is an amenable number.

34210064 is an abundant number, since it is smaller than the sum of its proper divisors (41880304).

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

34210064 is a wasteful number, since it uses less digits than its factorization.

34210064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 34210064 is about 5848.9369974381. The cubic root of 34210064 is about 324.6269929657.

The spelling of 34210064 in words is "thirty-four million, two hundred ten thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 281 562 1087 1124 1967 2174 2248 3934 4348 4496 7609 7868 8696 15218 15736 17392 30436 31472 60872 121744 305447 610894 1221788 2138129 2443576 4276258 4887152 8552516 17105032 34210064