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320901426 = 236892473
BaseRepresentation
bin10011001000001…
…001000100110010
3211100211111000000
4103020021010302
51124122321201
651502010430
710644421446
oct2310110462
9740744000
10320901426
1115515aa9a
128b576a16
1351638601
1430894826
151d28bd86
hex13209132

320901426 has 56 divisors (see below), whose sum is σ = 730102140. Its totient is φ = 105722496.

The previous prime is 320901421. The next prime is 320901433. The reversal of 320901426 is 624109023.

It can be written as a sum of positive squares in 2 ways, for example, as 320445801 + 455625 = 17901^2 + 675^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 320901426.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320901421) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128526 + ... + 130998.

Almost surely, 2320901426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320901426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365051070).

320901426 is an abundant number, since it is smaller than the sum of its proper divisors (409200714).

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

320901426 is an equidigital number, since it uses as much as digits as its factorization.

320901426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 320901426 is about 17913.7217238630. The cubic root of 320901426 is about 684.6320335335.

The spelling of 320901426 in words is "three hundred twenty million, nine hundred one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 729 801 1458 1602 2403 2473 4806 4946 7209 7419 14418 14838 21627 22257 43254 44514 64881 66771 129762 133542 200313 220097 400626 440194 600939 660291 1201878 1320582 1802817 1980873 3605634 3961746 5942619 11885238 17827857 35655714 53483571 106967142 160450713 320901426