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315235320 = 233513918899
BaseRepresentation
bin10010110010100…
…001101111111000
3210222011121120020
4102302201233320
51121200012240
651140330440
710545312261
oct2262415770
9728147506
10315235320
11151a3aa64
12896a3a20
135040359a
142dc1b968
151ca1d0d0
hex12ca1bf8

315235320 has 64 divisors (see below), whose sum is σ = 952560000. Its totient is φ = 83453568.

The previous prime is 315235313. The next prime is 315235331. The reversal of 315235320 is 23532513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7231 + ... + 26129.

It is an arithmetic number, because the mean of its divisors is an integer number (14883750).

Almost surely, 2315235320 is an apocalyptic number.

315235320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315235320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280000).

315235320 is an abundant number, since it is smaller than the sum of its proper divisors (637324680).

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

315235320 is a wasteful number, since it uses less digits than its factorization.

315235320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19052 (or 19048 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 315235320 is about 17754.8675016177. The cubic root of 315235320 is about 680.5786021152.

Adding to 315235320 its reverse (23532513), we get a palindrome (338767833).

The spelling of 315235320 in words is "three hundred fifteen million, two hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 18899 37798 56697 75596 94495 113394 151192 188990 226788 283485 377980 453576 566970 755960 1133940 2267880 2626961 5253922 7880883 10507844 13134805 15761766 21015688 26269610 31523532 39404415 52539220 63047064 78808830 105078440 157617660 315235320