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320983056 = 243214932
BaseRepresentation
bin10011001000011…
…101000000010000
3211100222121222100
4103020131000100
51124132424211
651503440400
710645211442
oct2310350020
9740877870
10320983056
11155206359
128b5b6100
1351666804
14308b6492
151d2a6156
hex1321d010

320983056 has 45 divisors (see below), whose sum is σ = 898908829. Its totient is φ = 106922688.

The previous prime is 320983051. The next prime is 320983063. The reversal of 320983056 is 650389023.

The square root of 320983056 is 17916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 280227600 + 40755456 = 16740^2 + 6384^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 320983056.

It is not an unprimeable number, because it can be changed into a prime (320983051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 214246 + ... + 215738.

Almost surely, 2320983056 is an apocalyptic number.

320983056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

320983056 is the 17916-th square number.

It is an amenable number.

320983056 is an abundant number, since it is smaller than the sum of its proper divisors (577925773).

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

320983056 is an equidigital number, since it uses as much as digits as its factorization.

320983056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 320983056 is about 684.6900802006.

Multiplying 320983056 by its sum of digits (36), we get a square (11555390016 = 1074962).

320983056 divided by its sum of digits (36) gives a square (8916196 = 29862).

The spelling of 320983056 in words is "three hundred twenty million, nine hundred eighty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1493 2986 4479 5972 8958 11944 13437 17916 23888 26874 35832 53748 71664 107496 214992 2229049 4458098 6687147 8916196 13374294 17832392 20061441 26748588 35664784 40122882 53497176 80245764 106994352 160491528 320983056