Search a number
-
+
312565044 = 2231119312269
BaseRepresentation
bin10010101000010…
…101110100110100
3210210010221122010
4102220111310310
51120004040134
651003204220
710513521231
oct2250256464
9723127563
10312565044
11150486820
1288816670
134c9aa03c
142d724788
151c691ce9
hex12a15d34

312565044 has 48 divisors (see below), whose sum is σ = 799807680. Its totient is φ = 94218240.

The previous prime is 312565039. The next prime is 312565081. The reversal of 312565044 is 440565213.

312565044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19342 + ... + 31610.

It is an arithmetic number, because the mean of its divisors is an integer number (16662660).

Almost surely, 2312565044 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 312565044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399903840).

312565044 is an abundant number, since it is smaller than the sum of its proper divisors (487242636).

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

312565044 is a wasteful number, since it uses less digits than its factorization.

312565044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12480 (or 12478 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 312565044 is about 17679.5091560824. The cubic root of 312565044 is about 678.6514826371.

The spelling of 312565044 in words is "three hundred twelve million, five hundred sixty-five thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 1158 2123 2316 4246 6369 8492 12269 12738 24538 25476 36807 49076 73614 134959 147228 269918 404877 539836 809754 1619508 2367917 4735834 7103751 9471668 14207502 26047087 28415004 52094174 78141261 104188348 156282522 312565044