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3998630376 = 23321313132611
BaseRepresentation
bin1110111001010110…
…0100000111101000
3101022200010110200100
43232111210013220
531142122133001
61500440305400
7201042540336
oct35625440750
911280113610
103998630376
111772139204
12937172260
134b95621a0
1429d0b8b56
151860a4586
hexee5641e8

3998630376 has 96 divisors (see below), whose sum is σ = 11752060320. Its totient is φ = 1220918400.

The previous prime is 3998630347. The next prime is 3998630381. The reversal of 3998630376 is 6730368993.

3998630376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106311 + ... + 138921.

It is an arithmetic number, because the mean of its divisors is an integer number (122417295).

Almost surely, 23998630376 is an apocalyptic number.

3998630376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3998630376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876030160).

3998630376 is an abundant number, since it is smaller than the sum of its proper divisors (7753429944).

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

3998630376 is a wasteful number, since it uses less digits than its factorization.

3998630376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32767 (or 32760 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3998630376 is about 63234.7244478854. The cubic root of 3998630376 is about 1587.2198527372.

The spelling of 3998630376 in words is "three billion, nine hundred ninety-eight million, six hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 131 156 234 262 312 393 468 524 786 936 1048 1179 1572 1703 2358 3144 3406 4716 5109 6812 9432 10218 13624 15327 20436 30654 32611 40872 61308 65222 97833 122616 130444 195666 260888 293499 391332 423943 586998 782664 847886 1173996 1271829 1695772 2347992 2543658 3391544 3815487 4272041 5087316 7630974 8544082 10174632 12816123 15261948 17088164 25632246 30523896 34176328 38448369 51264492 55536533 76896738 102528984 111073066 153793476 166609599 222146132 307586952 333219198 444292264 499828797 666438396 999657594 1332876792 1999315188 3998630376