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313872 = 24313503
BaseRepresentation
bin1001100101000010000
3120221112220
41030220100
540020442
610421040
72445036
oct1145020
9527486
10313872
111a48a9
12131780
13acb30
1482556
1562eec
hex4ca10

313872 has 40 divisors (see below), whose sum is σ = 874944. Its totient is φ = 96384.

The previous prime is 313853. The next prime is 313879. The reversal of 313872 is 278313.

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

It is not an unprimeable number, because it can be changed into a prime (313879) by changing a digit.

313872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 875.

2313872 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 313872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

313872 is an abundant number, since it is smaller than the sum of its proper divisors (561072).

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

313872 is a wasteful number, since it uses less digits than its factorization.

313872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 313872 is about 560.2428045053. The cubic root of 313872 is about 67.9596069218.

It can be divided in two parts, 3 and 13872, that multiplied together give a triangular number (41616 = T288).

The spelling of 313872 in words is "three hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 503 624 1006 1509 2012 3018 4024 6036 6539 8048 12072 13078 19617 24144 26156 39234 52312 78468 104624 156936 313872