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2314884 = 22311131971
BaseRepresentation
bin1000110101001010000100
311100121102110
420311022010
51043034014
6121341020
725450635
oct10651204
94317373
102314884
111341230
12937770
13630870
1444388c
1530ad59
hex235284

2314884 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 604800.

The previous prime is 2314883. The next prime is 2314909. The reversal of 2314884 is 4884132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32569 + ... + 32639.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22314884 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 2314884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2314884 is an abundant number, since it is smaller than the sum of its proper divisors (4458876).

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

2314884 is a wasteful number, since it uses less digits than its factorization.

2314884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 2314884 is about 1521.4742850275. The cubic root of 2314884 is about 132.2847388798.

It can be divided in two parts, 23148 and 84, that added together give a palindrome (23232).

The spelling of 2314884 in words is "two million, three hundred fourteen thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 71 76 78 114 132 142 143 156 209 213 228 247 284 286 418 426 429 494 572 627 741 781 836 852 858 923 988 1254 1349 1482 1562 1716 1846 2343 2508 2698 2717 2769 2964 3124 3692 4047 4686 5396 5434 5538 8094 8151 9372 10153 10868 11076 14839 16188 16302 17537 20306 29678 30459 32604 35074 40612 44517 52611 59356 60918 70148 89034 105222 121836 178068 192907 210444 385814 578721 771628 1157442 2314884