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332668104 = 233175031621
BaseRepresentation
bin10011110101000…
…001110011001000
3212011222021211220
4103311001303020
51140130334404
653002122040
711146426566
oct2365016310
9764867756
10332668104
1116086751a
12934b0320
1353bc8342
1432278a36
151e3134d9
hex13d41cc8

332668104 has 64 divisors (see below), whose sum is σ = 882887040. Its totient is φ = 104094720.

The previous prime is 332668097. The next prime is 332668111. The reversal of 332668104 is 401866233.

It is an interprime number because it is at equal distance from previous prime (332668097) and next prime (332668111).

It is a super-2 number, since 2×3326681042 = 221336134837909632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204414 + ... + 206034.

It is an arithmetic number, because the mean of its divisors is an integer number (13795110).

Almost surely, 2332668104 is an apocalyptic number.

332668104 is a gapful number since it is divisible by the number (34) 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 332668104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441443520).

332668104 is an abundant number, since it is smaller than the sum of its proper divisors (550218936).

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

332668104 is a wasteful number, since it uses less digits than its factorization.

332668104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 332668104 is about 18239.1914294466. The cubic root of 332668104 is about 692.8997229185.

The spelling of 332668104 in words is "three hundred thirty-two million, six hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 503 1006 1509 1621 2012 3018 3242 4024 4863 6036 6484 8551 9726 12072 12968 17102 19452 25653 27557 34204 38904 51306 55114 68408 82671 102612 110228 165342 205224 220456 330684 661368 815363 1630726 2446089 3261452 4892178 6522904 9784356 13861171 19568712 27722342 41583513 55444684 83167026 110889368 166334052 332668104