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3934345088 = 27172962347
BaseRepresentation
bin1110101010000001…
…0101011110000000
3101011012011102211202
43222200111132000
531024143020323
61450222400332
7166332244562
oct35240253600
911135142752
103934345088
111739920773
129197300a8
134a914485b
14294743332
15180606d28
hexea815780

3934345088 has 64 divisors (see below), whose sum is σ = 8585319600. Its totient is φ = 1787584512.

The previous prime is 3934345073. The next prime is 3934345169. The reversal of 3934345088 is 8805434393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 31931 + ... + 94277.

Almost surely, 23934345088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3934345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292659800).

3934345088 is an abundant number, since it is smaller than the sum of its proper divisors (4650974512).

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

3934345088 is a wasteful number, since it uses less digits than its factorization.

3934345088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62407 (or 62395 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The square root of 3934345088 is about 62724.3580118601. The cubic root of 3934345088 is about 1578.6680394487.

The spelling of 3934345088 in words is "three billion, nine hundred thirty-four million, three hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 464 493 544 928 986 1088 1856 1972 2176 3712 3944 7888 15776 31552 62347 63104 124694 249388 498776 997552 1059899 1808063 1995104 2119798 3616126 3990208 4239596 7232252 7980416 8479192 14464504 16958384 28929008 30737071 33916768 57858016 61474142 67833536 115716032 122948284 135667072 231432064 245896568 491793136 983586272 1967172544 3934345088