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320332032 = 2832139033
BaseRepresentation
bin10011000101111…
…110000100000000
3211022202112221100
4103011332010000
51124001111112
651441454400
710636530426
oct2305760400
9738675840
10320332032
11154901219
128b341400
13514993a7
1430787116
151d1c82dc
hex1317e100

320332032 has 54 divisors (see below), whose sum is σ = 923602862. Its totient is φ = 106776576.

The previous prime is 320331961. The next prime is 320332043. The reversal of 320332032 is 230233023.

It can be written as a sum of positive squares in only one way, i.e., 285474816 + 34857216 = 16896^2 + 5904^2 .

It is a super-2 number, since 2×3203320322 = 205225221450498048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320331996 and 320332014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67213 + ... + 71820.

Almost surely, 2320332032 is an apocalyptic number.

320332032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320332032 is an abundant number, since it is smaller than the sum of its proper divisors (603270830).

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

320332032 is a wasteful number, since it uses less digits than its factorization.

320332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139055 (or 139038 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 320332032 is about 17897.8219903987. The cubic root of 320332032 is about 684.2268663686.

Adding to 320332032 its reverse (230233023), we get a palindrome (550565055).

Subtracting from 320332032 its reverse (230233023), we obtain a palindrome (90099009).

The spelling of 320332032 in words is "three hundred twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 139033 278066 417099 556132 834198 1112264 1251297 1668396 2224528 2502594 3336792 4449056 5005188 6673584 8898112 10010376 13347168 17796224 20020752 26694336 35592448 40041504 53388672 80083008 106777344 160166016 320332032