Search a number
-
+
313286832 = 2433725201
BaseRepresentation
bin10010101011000…
…110000010110000
3210211111121202000
4102223012002300
51120200134312
651030454000
710522615455
oct2253060260
9724447660
10313286832
1115092a041
1288b04300
134cba0731
142d87182c
151c785adc
hex12ac60b0

313286832 has 40 divisors (see below), whose sum is σ = 899250480. Its totient is φ = 104428800.

The previous prime is 313286821. The next prime is 313286849. The reversal of 313286832 is 238682313.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362169 + ... + 363032.

It is an arithmetic number, because the mean of its divisors is an integer number (22481262).

Almost surely, 2313286832 is an apocalyptic number.

It is an amenable number.

313286832 is an abundant number, since it is smaller than the sum of its proper divisors (585963648).

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

313286832 is a wasteful number, since it uses less digits than its factorization.

313286832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725218 (or 725206 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 313286832 is about 17699.9105082483. The cubic root of 313286832 is about 679.1734709762.

It can be divided in two parts, 3132868 and 32, that added together give a square (3132900 = 17702).

The spelling of 313286832 in words is "three hundred thirteen million, two hundred eighty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 725201 1450402 2175603 2900804 4351206 5801608 6526809 8702412 11603216 13053618 17404824 19580427 26107236 34809648 39160854 52214472 78321708 104428944 156643416 313286832