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3840945156 = 223427742797
BaseRepresentation
bin1110010011110000…
…0010110000000100
3100220200102020020000
43210330002300010
530331240221111
61433044441300
7164116331556
oct34474026004
910820366200
103840945156
1116a1127a44
128b23a9230
134929a2219
1428618d4d6
15177307c56
hexe4f02c04

3840945156 has 60 divisors (see below), whose sum is σ = 10077473868. Its totient is φ = 1275663168.

The previous prime is 3840945091. The next prime is 3840945179. The reversal of 3840945156 is 6515490483.

3840945156 is a `hidden beast` number, since 3 + 8 + 40 + 94 + 515 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2384759556 + 1456185600 = 48834^2 + 38160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68350 + ... + 111146.

Almost surely, 23840945156 is an apocalyptic number.

3840945156 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 3840945156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038736934).

3840945156 is an abundant number, since it is smaller than the sum of its proper divisors (6236528712).

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

3840945156 is a wasteful number, since it uses less digits than its factorization.

3840945156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43090 (or 43079 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3840945156 is about 61975.3592647917. The cubic root of 3840945156 is about 1566.0755237281.

The spelling of 3840945156 in words is "three billion, eight hundred forty million, nine hundred forty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 277 324 554 831 1108 1662 2493 3324 4986 7479 9972 14958 22437 29916 42797 44874 85594 89748 128391 171188 256782 385173 513564 770346 1155519 1540692 2311038 3466557 4622076 6933114 11854769 13866228 23709538 35564307 47419076 71128614 106692921 142257228 213385842 320078763 426771684 640157526 960236289 1280315052 1920472578 3840945156