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332285328 = 2434256393
BaseRepresentation
bin10011110011100…
…100010110010000
3212011020211210000
4103303210112100
51140031112303
652550010000
711143243614
oct2363442620
9764224700
10332285328
11160625981
1293346900
1353ac304b
14321b9344
151e289da3
hex13ce4590

332285328 has 50 divisors (see below), whose sum is σ = 961733894. Its totient is φ = 110761344.

The previous prime is 332285309. The next prime is 332285329. The reversal of 332285328 is 823582233.

It is a happy number.

332285328 is a `hidden beast` number, since 3 + 322 + 8 + 5 + 328 = 666.

It can be written as a sum of positive squares in only one way, i.e., 302342544 + 29942784 = 17388^2 + 5472^2 .

It is a super-2 number, since 2×3322853282 = 220827078408135168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332285292 and 332285301.

It is not an unprimeable number, because it can be changed into a prime (332285329) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 126901 + ... + 129492.

Almost surely, 2332285328 is an apocalyptic number.

It is an amenable number.

332285328 is an abundant number, since it is smaller than the sum of its proper divisors (629448566).

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

332285328 is a wasteful number, since it uses less digits than its factorization.

332285328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256413 (or 256398 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 332285328 is about 18228.6951809503. The cubic root of 332285328 is about 692.6338651750.

The spelling of 332285328 in words is "three hundred thirty-two million, two hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 256393 512786 769179 1025572 1538358 2051144 2307537 3076716 4102288 4615074 6153432 6922611 9230148 12306864 13845222 18460296 20767833 27690444 36920592 41535666 55380888 83071332 110761776 166142664 332285328