Search a number
-
+
312504348 = 2231329671031
BaseRepresentation
bin10010101000000…
…111000000011100
3210210000212101010
4102220013000130
51120000114343
651002015220
710513146252
oct2250070034
9723025333
10312504348
11150445162
12887a7510
134c988520
142d70a5d2
151c67dd33
hex12a0701c

312504348 has 96 divisors (see below), whose sum is σ = 825269760. Its totient is φ = 91365120.

The previous prime is 312504347. The next prime is 312504389. The reversal of 312504348 is 843405213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312504347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302593 + ... + 303623.

It is an arithmetic number, because the mean of its divisors is an integer number (8596560).

Almost surely, 2312504348 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 312504348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412634880).

312504348 is an abundant number, since it is smaller than the sum of its proper divisors (512765412).

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

312504348 is a wasteful number, since it uses less digits than its factorization.

312504348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 312504348 is about 17677.7925092473. The cubic root of 312504348 is about 678.6075514109.

The spelling of 312504348 in words is "three hundred twelve million, five hundred four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 67 78 87 116 134 156 174 201 268 348 377 402 754 804 871 1031 1131 1508 1742 1943 2062 2262 2613 3093 3484 3886 4124 4524 5226 5829 6186 7772 10452 11658 12372 13403 23316 25259 26806 29899 40209 50518 53612 59798 69077 75777 80418 89697 101036 119596 138154 151554 160836 179394 207231 276308 303108 358788 388687 414462 777374 828924 898001 1166061 1554748 1796002 2003233 2332122 2694003 3592004 4006466 4664244 5388006 6009699 8012932 10776012 12019398 24038796 26042029 52084058 78126087 104168116 156252174 312504348