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320451012 = 22337557761
BaseRepresentation
bin10011000110011…
…011000111000100
3211022222121011000
4103012123013010
51124013413022
651444213300
710640534340
oct2306330704
9738877130
10320451012
11154982652
128b39a230
135150b5ab
14307b8620
151d1ed6ac
hex1319b1c4

320451012 has 96 divisors (see below), whose sum is σ = 952439040. Its totient is φ = 91272960.

The previous prime is 320451011. The next prime is 320451013. The reversal of 320451012 is 210154023.

It is an interprime number because it is at equal distance from previous prime (320451011) and next prime (320451013).

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

It is not an unprimeable number, because it can be changed into a prime (320451011) 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 31 ways as a sum of consecutive naturals, for example, 420712 + ... + 421472.

It is an arithmetic number, because the mean of its divisors is an integer number (9921240).

Almost surely, 2320451012 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 320451012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476219520).

320451012 is an abundant number, since it is smaller than the sum of its proper divisors (631988028).

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

320451012 is a wasteful number, since it uses less digits than its factorization.

320451012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 320451012 is about 17901.1455499362. The cubic root of 320451012 is about 684.3115693510.

The spelling of 320451012 in words is "three hundred twenty million, four hundred fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 557 756 761 1114 1522 1671 2228 2283 3044 3342 3899 4566 5013 5327 6684 6849 7798 9132 10026 10654 11697 13698 15039 15596 15981 20052 20547 21308 23394 27396 30078 31962 35091 41094 46788 47943 60156 63924 70182 82188 95886 105273 140364 143829 191772 210546 287658 421092 423877 575316 847754 1271631 1695508 2543262 2967139 3814893 5086524 5934278 7629786 8901417 11444679 11868556 15259572 17802834 22889358 26704251 35605668 45778716 53408502 80112753 106817004 160225506 320451012