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2314312 = 2371113172
BaseRepresentation
bin1000110101000001001000
311100120122021
420311001020
51043024222
6121334224
725446160
oct10650110
94316567
102314312
111340860
12937374
13630520
144435a0
1530aac7
hex235048

2314312 has 96 divisors (see below), whose sum is σ = 6189120. Its totient is φ = 783360.

The previous prime is 2314309. The next prime is 2314339. The reversal of 2314312 is 2134132.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136128 + ... + 136144.

It is an arithmetic number, because the mean of its divisors is an integer number (64470).

22314312 is an apocalyptic number.

2314312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094560).

2314312 is an abundant number, since it is smaller than the sum of its proper divisors (3874808).

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

2314312 is a wasteful number, since it uses less digits than its factorization.

2314312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 50 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 2314312 is about 1521.2862978414. The cubic root of 2314312 is about 132.2738422786.

Adding to 2314312 its reverse (2134132), we get a palindrome (4448444).

The spelling of 2314312 in words is "two million, three hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 17 22 26 28 34 44 52 56 68 77 88 91 104 119 136 143 154 182 187 221 238 286 289 308 364 374 442 476 572 578 616 728 748 884 952 1001 1144 1156 1309 1496 1547 1768 2002 2023 2312 2431 2618 3094 3179 3757 4004 4046 4862 5236 6188 6358 7514 8008 8092 9724 10472 12376 12716 15028 16184 17017 19448 22253 25432 26299 30056 34034 41327 44506 52598 68068 82654 89012 105196 136136 165308 178024 210392 289289 330616 578578 1157156 2314312