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3316906752 = 283311271097
BaseRepresentation
bin1100010110110011…
…1111101100000000
322120011100022200020
43011230333230000
523243112004002
61305044453440
7145124146035
oct30554775400
98504308606
103316906752
111452342155
127869aa280
1340b251823
1423673b38c
151462e22bc
hexc5b3fb00

3316906752 has 144 divisors (see below), whose sum is σ = 9192701952. Its totient is φ = 1060577280.

The previous prime is 3316906687. The next prime is 3316906753. The reversal of 3316906752 is 2576096133.

3316906752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33169067522 = 22003740802926379008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3316906753) 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, 3023068 + ... + 3024164.

It is an arithmetic number, because the mean of its divisors is an integer number (63838208).

Almost surely, 23316906752 is an apocalyptic number.

3316906752 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 3316906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596350976).

3316906752 is an abundant number, since it is smaller than the sum of its proper divisors (5875795200).

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

3316906752 is a wasteful number, since it uses less digits than its factorization.

3316906752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 3316906752 is about 57592.5928570680. The cubic root of 3316906752 is about 1491.3437350322.

The spelling of 3316906752 in words is "three billion, three hundred sixteen million, nine hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 128 186 192 248 254 256 372 381 384 496 508 744 762 768 992 1016 1097 1488 1524 1984 2032 2194 2976 3048 3291 3937 3968 4064 4388 5952 6096 6582 7874 7936 8128 8776 11811 11904 12192 13164 15748 16256 17552 23622 23808 24384 26328 31496 32512 34007 35104 47244 48768 52656 62992 68014 70208 94488 97536 102021 105312 125984 136028 139319 140416 188976 204042 210624 251968 272056 278638 280832 377952 408084 417957 421248 503936 544112 557276 755904 816168 835914 842496 1007872 1088224 1114552 1511808 1632336 1671828 2176448 2229104 3023616 3264672 3343656 4318889 4352896 4458208 6529344 6687312 8637778 8705792 8916416 12956667 13058688 13374624 17275556 17832832 25913334 26117376 26749248 34551112 35665664 51826668 53498496 69102224 103653336 106996992 138204448 207306672 276408896 414613344 552817792 829226688 1105635584 1658453376 3316906752