Search a number
-
+
312144354 = 2342816857
BaseRepresentation
bin10010100110101…
…111000111100010
3210202100120120000
4102212233013202
51114402104404
650550200430
710510116564
oct2246570742
9722316500
10312144354
11150219745
1288653116
134c890702
142d655334
151c60c339
hex129af1e2

312144354 has 40 divisors (see below), whose sum is σ = 702026028. Its totient is φ = 103662720.

The previous prime is 312144347. The next prime is 312144367. The reversal of 312144354 is 453441213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 291487329 + 20657025 = 17073^2 + 4545^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42094 + ... + 48950.

Almost surely, 2312144354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312144354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351013014).

312144354 is an abundant number, since it is smaller than the sum of its proper divisors (389881674).

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

312144354 is a wasteful number, since it uses less digits than its factorization.

312144354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152 (or 7143 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 312144354 is about 17667.6074780939. The cubic root of 312144354 is about 678.3468739571.

Adding to 312144354 its reverse (453441213), we get a palindrome (765585567).

The spelling of 312144354 in words is "three hundred twelve million, one hundred forty-four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 281 562 843 1686 2529 5058 6857 7587 13714 15174 20571 22761 41142 45522 61713 123426 185139 370278 555417 1110834 1926817 3853634 5780451 11560902 17341353 34682706 52024059 104048118 156072177 312144354