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328196512 = 2572375657
BaseRepresentation
bin10011100011111…
…110000110100000
3211212120002222101
4103203332012200
51133004242022
652322220144
711063424100
oct2343760640
9755502871
10328196512
11159292996
1291ab4654
1352cc0c27
1431833200
151dc2d627
hex138fe1a0

328196512 has 72 divisors (see below), whose sum is σ = 772079364. Its totient is φ = 136829952.

The previous prime is 328196507. The next prime is 328196521. The reversal of 328196512 is 215691823.

It can be written as a sum of positive squares in 2 ways, for example, as 328189456 + 7056 = 18116^2 + 84^2 .

It is a super-2 number, since 2×3281965122 = 215425900977932288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55188 + ... + 60844.

Almost surely, 2328196512 is an apocalyptic number.

328196512 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 328196512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386039682).

328196512 is an abundant number, since it is smaller than the sum of its proper divisors (443882852).

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

328196512 is a wasteful number, since it uses less digits than its factorization.

328196512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5703 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 328196512 is about 18116.1947439301. The cubic root of 328196512 is about 689.7811474234.

The spelling of 328196512 in words is "three hundred twenty-eight million, one hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 392 518 592 784 1036 1184 1568 1813 2072 3626 4144 5657 7252 8288 11314 14504 22628 29008 39599 45256 58016 79198 90512 158396 181024 209309 277193 316792 418618 554386 633584 837236 1108772 1267168 1465163 1674472 2217544 2930326 3348944 4435088 5860652 6697888 8870176 10256141 11721304 20512282 23442608 41024564 46885216 82049128 164098256 328196512