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332819968 = 2913311613
BaseRepresentation
bin10011110101100…
…110111000000000
3212012021000011111
4103311212320000
51140200214333
653005253104
711150631415
oct2365467000
9765230144
10332819968
11160960628
1293564194
1353c4c4c0
14322b810c
151e3434cd
hex13d66e00

332819968 has 80 divisors (see below), whose sum is σ = 739702656. Its totient is φ = 148561920.

The previous prime is 332819953. The next prime is 332819989. The reversal of 332819968 is 869918233.

It is a super-2 number, since 2×3328199682 = 221538262199042048, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 205530 + ... + 207142.

Almost surely, 2332819968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369851328).

332819968 is an abundant number, since it is smaller than the sum of its proper divisors (406882688).

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

332819968 is a wasteful number, since it uses less digits than its factorization.

332819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1659 counting only the distinct ones).

The product of its digits is 559872, while the sum is 49.

The square root of 332819968 is about 18243.3540775812. The cubic root of 332819968 is about 693.0051438212.

The spelling of 332819968 in words is "three hundred thirty-two million, eight hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1612 1613 1664 1984 3224 3226 3328 3968 6448 6452 6656 7936 12896 12904 15872 20969 25792 25808 41938 50003 51584 51616 83876 100006 103168 103232 167752 200012 206336 206464 335504 400024 412928 650039 671008 800048 825856 1300078 1342016 1600096 2600156 2684032 3200192 5200312 5368064 6400384 10400624 10736128 12800768 20801248 25601536 41602496 83204992 166409984 332819968