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3900380352 = 263114739293
BaseRepresentation
bin1110100001111011…
…0001010011000000
3101001211020211222120
43220132301103000
530441444132402
61443010404240
7165440454201
oct35036612300
911054224876
103900380352
111721732540
1290a290680
134a20b208b
142900215a8
1517c6483bc
hexe87b14c0

3900380352 has 112 divisors (see below), whose sum is σ = 11497738752. Its totient is φ = 1156756480.

The previous prime is 3900380347. The next prime is 3900380353. The reversal of 3900380352 is 2530830093.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3900380353) 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, 79618 + ... + 118910.

Almost surely, 23900380352 is an apocalyptic number.

3900380352 is a gapful number since it is divisible by the number (32) 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 3900380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748869376).

3900380352 is an abundant number, since it is smaller than the sum of its proper divisors (7597358400).

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

3900380352 is a wasteful number, since it uses less digits than its factorization.

3900380352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39366 (or 39356 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3900380352 is about 62453.0251629174. The cubic root of 3900380352 is about 1574.1120856704.

The spelling of 3900380352 in words is "three billion, nine hundred million, three hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 132 141 176 188 192 264 282 352 376 517 528 564 704 752 1034 1056 1128 1504 1551 2068 2112 2256 3008 3102 4136 4512 6204 8272 9024 12408 16544 24816 33088 39293 49632 78586 99264 117879 157172 235758 314344 432223 471516 628688 864446 943032 1257376 1296669 1728892 1846771 1886064 2514752 2593338 3457784 3693542 3772128 5186676 5540313 6915568 7387084 7544256 10373352 11080626 13831136 14774168 20314481 20746704 22161252 27662272 29548336 40628962 41493408 44322504 59096672 60943443 81257924 82986816 88645008 118193344 121886886 162515848 177290016 243773772 325031696 354580032 487547544 650063392 975095088 1300126784 1950190176 3900380352