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312314140 = 225175915569
BaseRepresentation
bin10010100111011…
…000100100011100
3210202200012110101
4102213120210130
51114423023030
650553550444
710511424565
oct2247304434
9722605411
10312314140
11150325266
1288715424
134c91ca88
142d69b16c
151c6427ca
hex129d891c

312314140 has 48 divisors (see below), whose sum is σ = 706255200. Its totient is φ = 115576832.

The previous prime is 312314071. The next prime is 312314173. The reversal of 312314140 is 41413213.

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, 12276 + ... + 27844.

It is an arithmetic number, because the mean of its divisors is an integer number (14713650).

Almost surely, 2312314140 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 312314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353127600).

312314140 is an abundant number, since it is smaller than the sum of its proper divisors (393941060).

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

312314140 is a wasteful number, since it uses less digits than its factorization.

312314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15654 (or 15652 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 312314140 is about 17672.4118331370. The cubic root of 312314140 is about 678.4698436930.

Adding to 312314140 its reverse (41413213), we get a palindrome (353727353).

The spelling of 312314140 in words is "three hundred twelve million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 1003 1180 2006 4012 5015 10030 15569 20060 31138 62276 77845 155690 264673 311380 529346 918571 1058692 1323365 1837142 2646730 3674284 4592855 5293460 9185710 15615707 18371420 31231414 62462828 78078535 156157070 312314140