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328193664 = 2736114011
BaseRepresentation
bin10011100011111…
…101011010000000
3211212112222001220
4103203331122000
51133004144124
652322155040
711063412561
oct2343753200
9755488056
10328193664
11159290837
1291ab2a80
1352cbc846
1431832168
151dc2c879
hex138fd680

328193664 has 64 divisors (see below), whose sum is σ = 886118880. Its totient is φ = 107596800.

The previous prime is 328193651. The next prime is 328193699. The reversal of 328193664 is 466391823.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3281936642 = 215422162179489792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16419 + ... + 30429.

Almost surely, 2328193664 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 328193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443059440).

328193664 is an abundant number, since it is smaller than the sum of its proper divisors (557925216).

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

328193664 is a wasteful number, since it uses less digits than its factorization.

328193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14089 (or 14077 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 328193664 is about 18116.1161400561. The cubic root of 328193664 is about 689.7791521733.

The spelling of 328193664 in words is "three hundred twenty-eight million, one hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5856 7808 11712 14011 23424 28022 42033 56044 84066 112088 168132 224176 336264 448352 672528 854671 896704 1345056 1709342 1793408 2564013 2690112 3418684 5128026 5380224 6837368 10256052 13674736 20512104 27349472 41024208 54698944 82048416 109397888 164096832 328193664