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3332332296 = 2332449310301
BaseRepresentation
bin1100011010011111…
…0101101100001000
322121020101000112200
43012213311230020
523311034113141
61310355240200
7145402233336
oct30647655410
98536330480
103332332296
111460018637
1278bba9060
134114c2a77
142387d4b56
1514783cab6
hexc69f5b08

3332332296 has 48 divisors (see below), whose sum is σ = 9027951660. Its totient is φ = 1110422400.

The previous prime is 3332332291. The next prime is 3332332313. The reversal of 3332332296 is 6922332333.

3332332296 is a `hidden beast` number, since 3 + 3 + 32 + 332 + 296 = 666.

3332332296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2089769796 + 1242562500 = 45714^2 + 35250^2 .

It is a super-2 number, since 2×33323322962 = 22208877061929263232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3332332296.

It is not an unprimeable number, because it can be changed into a prime (3332332291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318346 + ... + 328646.

Almost surely, 23332332296 is an apocalyptic number.

3332332296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3332332296 is an abundant number, since it is smaller than the sum of its proper divisors (5695619364).

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

3332332296 is a wasteful number, since it uses less digits than its factorization.

3332332296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14806 (or 14799 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The square root of 3332332296 is about 57726.3570303895. The cubic root of 3332332296 is about 1493.6520320990.

The spelling of 3332332296 in words is "three billion, three hundred thirty-two million, three hundred thirty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4493 8986 10301 13479 17972 20602 26958 30903 35944 40437 41204 53916 61806 80874 82408 92709 107832 123612 161748 185418 247224 323496 370836 741672 46282393 92564786 138847179 185129572 277694358 370259144 416541537 555388716 833083074 1110777432 1666166148 3332332296