Search a number
-
+
312090016 = 2572199037
BaseRepresentation
bin10010100110100…
…001110110100000
3210202020211000111
4102212201312200
51114343340031
650545101104
710506502300
oct2246416640
9722224014
10312090016
11150191937
1288627794
134c871a64
142d63d600
151c5eb1b1
hex129a1da0

312090016 has 36 divisors (see below), whose sum is σ = 714745458. Its totient is φ = 133752192.

The previous prime is 312089977. The next prime is 312090041. The reversal of 312090016 is 610090213.

It can be written as a sum of positive squares in only one way, i.e., 163737616 + 148352400 = 12796^2 + 12180^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97951 + ... + 101086.

Almost surely, 2312090016 is an apocalyptic number.

It is an amenable number.

312090016 is an abundant number, since it is smaller than the sum of its proper divisors (402655442).

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

312090016 is a wasteful number, since it uses less digits than its factorization.

312090016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199061 (or 199046 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 312090016 is about 17666.0696251317. The cubic root of 312090016 is about 678.3075095294.

The spelling of 312090016 in words is "three hundred twelve million, ninety thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 199037 398074 796148 1393259 1592296 2786518 3184592 5573036 6369184 9752813 11146072 19505626 22292144 39011252 44584288 78022504 156045008 312090016