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312312234 = 231319832539
BaseRepresentation
bin10010100111011…
…000000110101010
3210202200002211210
4102213120012222
51114422442414
650553533550
710511416203
oct2247300652
9722602753
10312312234
11150323893
12887142b6
134c91bc50
142d69a5aa
151c641e59
hex129d81aa

312312234 has 64 divisors (see below), whose sum is σ = 716889600. Its totient is φ = 89906112.

The previous prime is 312312167. The next prime is 312312241. The reversal of 312312234 is 432213213.

It is a self number, because there is not a number n which added to its sum of digits gives 312312234.

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 31 ways as a sum of consecutive naturals, for example, 121737 + ... + 124275.

It is an arithmetic number, because the mean of its divisors is an integer number (11201400).

Almost surely, 2312312234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312312234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358444800).

312312234 is an abundant number, since it is smaller than the sum of its proper divisors (404577366).

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

312312234 is a wasteful number, since it uses less digits than its factorization.

312312234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659.

The product of its digits is 864, while the sum is 21.

The square root of 312312234 is about 17672.3579071951. The cubic root of 312312234 is about 678.4684634949.

Adding to 312312234 its reverse (432213213), we get a palindrome (744525447).

The spelling of 312312234 in words is "three hundred twelve million, three hundred twelve thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 83 114 166 247 249 494 498 741 1079 1482 1577 2158 2539 3154 3237 4731 5078 6474 7617 9462 15234 20501 33007 41002 48241 61503 66014 96482 99021 123006 144723 198042 210737 289446 421474 627133 632211 1254266 1264422 1881399 2739581 3762798 4004003 5479162 8008006 8218743 12012009 16437486 24024018 52052039 104104078 156156117 312312234