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313241232 = 243231671699
BaseRepresentation
bin10010101010111…
…010111010010000
3210211102022012010
4102222322322100
51120142204412
651025502520
710522335513
oct2252727220
9724368163
10313241232
111508a8857
1288aa1a40
134cb85a55
142d85cd7a
151c77733c
hex12abae90

313241232 has 80 divisors (see below), whose sum is σ = 849945600. Its totient is φ = 99217536.

The previous prime is 313241221. The next prime is 313241233. The reversal of 313241232 is 232142313.

313241232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313241199 and 313241208.

It is not an unprimeable number, because it can be changed into a prime (313241233) 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, 183519 + ... + 185217.

It is an arithmetic number, because the mean of its divisors is an integer number (10624320).

Almost surely, 2313241232 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 313241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424972800).

313241232 is an abundant number, since it is smaller than the sum of its proper divisors (536704368).

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

313241232 is a wasteful number, since it uses less digits than its factorization.

313241232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1894 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 313241232 is about 17698.6223192654. The cubic root of 313241232 is about 679.1405173484.

Adding to 313241232 its reverse (232142313), we get a palindrome (545383545).

The spelling of 313241232 in words is "three hundred thirteen million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 167 184 276 334 368 501 552 668 1002 1104 1336 1699 2004 2672 3398 3841 4008 5097 6796 7682 8016 10194 11523 13592 15364 20388 23046 27184 30728 39077 40776 46092 61456 78154 81552 92184 117231 156308 184368 234462 283733 312616 468924 567466 625232 851199 937848 1134932 1702398 1875696 2269864 3404796 4539728 6525859 6809592 13051718 13619184 19577577 26103436 39155154 52206872 78310308 104413744 156620616 313241232