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3990254304 = 253295932417
BaseRepresentation
bin1110110111010110…
…0111001011100000
3101022002100220212110
43231311213023200
531133001114204
61455540555320
7200611413321
oct35565471340
911262326773
103990254304
111768438133
129343b2b40
134b78bb82a
1429bd38448
1518549c889
hexedd672e0

3990254304 has 96 divisors (see below), whose sum is σ = 10858367520. Its totient is φ = 1281523712.

The previous prime is 3990254293. The next prime is 3990254309. The reversal of 3990254304 is 4034520993.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990254309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1649704 + ... + 1652120.

It is an arithmetic number, because the mean of its divisors is an integer number (113107995).

Almost surely, 23990254304 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 3990254304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429183760).

3990254304 is an abundant number, since it is smaller than the sum of its proper divisors (6868113216).

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

3990254304 is a wasteful number, since it uses less digits than its factorization.

3990254304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3990254304 is about 63168.4597247709. The cubic root of 3990254304 is about 1586.1108095341.

The spelling of 3990254304 in words is "three billion, nine hundred ninety million, two hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 593 696 928 1186 1392 1779 2372 2417 2784 3558 4744 4834 7116 7251 9488 9668 14232 14502 17197 18976 19336 28464 29004 34394 38672 51591 56928 58008 68788 70093 77344 103182 116016 137576 140186 206364 210279 232032 275152 280372 412728 420558 550304 560744 825456 841116 1121488 1433281 1650912 1682232 2242976 2866562 3364464 4299843 5733124 6728928 8599686 11466248 17199372 22932496 34398744 41565149 45864992 68797488 83130298 124695447 137594976 166260596 249390894 332521192 498781788 665042384 997563576 1330084768 1995127152 3990254304