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312411492 = 2236107137
BaseRepresentation
bin10010100111110…
…000010101100100
3210202212011000000
4102213300111210
51114434131432
651000021300
710512311451
oct2247602544
9722764000
10312411492
11150391418
1288761830
134c955193
142d6c4828
151c66157c
hex129f0564

312411492 has 42 divisors (see below), whose sum is σ = 819712838. Its totient is φ = 104136192.

The previous prime is 312411443. The next prime is 312411497. The reversal of 312411492 is 294114213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 300467556 + 11943936 = 17334^2 + 3456^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312411497) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 50653 + ... + 56484.

Almost surely, 2312411492 is an apocalyptic number.

It is an amenable number.

312411492 is an abundant number, since it is smaller than the sum of its proper divisors (507301346).

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

312411492 is a wasteful number, since it uses less digits than its factorization.

312411492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107159 (or 107142 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 312411492 is about 17675.1659681034. The cubic root of 312411492 is about 678.5403320529.

The spelling of 312411492 in words is "three hundred twelve million, four hundred eleven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 107137 214274 321411 428548 642822 964233 1285644 1928466 2892699 3856932 5785398 8678097 11570796 17356194 26034291 34712388 52068582 78102873 104137164 156205746 312411492