Search a number
-
+
320630024 = 231113319041
BaseRepresentation
bin10011000111000…
…110110100001000
3211100022200201002
4103013012310020
51124040130044
651452114132
710642211261
oct2307066410
9740280632
10320630024
11154a950a0
128b465948
1351571c10
1430823968
151d23674e
hex131c6d08

320630024 has 64 divisors (see below), whose sum is σ = 729146880. Its totient is φ = 130176000.

The previous prime is 320630017. The next prime is 320630027. The reversal of 320630024 is 420036023.

It is a super-2 number, since 2×3206300242 = 205607224580481152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320629978 and 320630005.

It is not an unprimeable number, because it can be changed into a prime (320630027) 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, 30944 + ... + 39984.

It is an arithmetic number, because the mean of its divisors is an integer number (11392920).

Almost surely, 2320630024 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 320630024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364573440).

320630024 is an abundant number, since it is smaller than the sum of its proper divisors (408516856).

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

320630024 is a wasteful number, since it uses less digits than its factorization.

320630024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9102 (or 9098 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 320630024 is about 17906.1448670561. The cubic root of 320630024 is about 684.4389701857.

Adding to 320630024 its reverse (420036023), we get a palindrome (740666047).

The spelling of 320630024 in words is "three hundred twenty million, six hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 2728 3224 4433 8866 9041 17732 18082 35464 36164 72328 99451 117533 198902 235066 280271 397804 470132 560542 795608 940264 1121084 1292863 2242168 2585726 3082981 3643523 5171452 6165962 7287046 10342904 12331924 14574092 24663848 29148184 40078753 80157506 160315012 320630024