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320250040 = 235115031447
BaseRepresentation
bin10011000101101…
…010000010111000
3211022121101110121
4103011222002320
51123441000130
651440023024
710636036405
oct2305520270
9738541417
10320250040
11154855660
128b301a74
135146ac86
14307652ac
151d1add7a
hex1316a0b8

320250040 has 64 divisors (see below), whose sum is σ = 788175360. Its totient is φ = 116142720.

The previous prime is 320250031. The next prime is 320250041. The reversal of 320250040 is 40052023.

It is a junction number, because it is equal to n+sod(n) for n = 320249996 and 320250023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320250041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220597 + ... + 222043.

It is an arithmetic number, because the mean of its divisors is an integer number (12315240).

Almost surely, 2320250040 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 320250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394087680).

320250040 is an abundant number, since it is smaller than the sum of its proper divisors (467925320).

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

320250040 is a wasteful number, since it uses less digits than its factorization.

320250040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 320250040 is about 17895.5312857708. The cubic root of 320250040 is about 684.1684832839.

The spelling of 320250040 in words is "three hundred twenty million, two hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 503 1006 1447 2012 2515 2894 4024 5030 5533 5788 7235 10060 11066 11576 14470 15917 20120 22132 27665 28940 31834 44264 55330 57880 63668 79585 110660 127336 159170 221320 318340 636680 727841 1455682 2911364 3639205 5822728 7278410 8006251 14556820 16012502 29113640 32025004 40031255 64050008 80062510 160125020 320250040