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2314314024 = 233119199539
BaseRepresentation
bin1000100111110001…
…1010000100101000
312222021210100000020
42021330122010220
514214431022044
61021351440440
7111231226131
oct21174320450
95867710006
102314314024
11a88408420
12547086120
132ab6174a9
1417d516c88
15d829ca19
hex89f1a128

2314314024 has 64 divisors (see below), whose sum is σ = 6319296000. Its totient is φ = 700470720.

The previous prime is 2314314007. The next prime is 2314314029. The reversal of 2314314024 is 4204134132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2314313985 and 2314314003.

It is not an unprimeable number, because it can be changed into a prime (2314314029) by changing a digit.

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, 237847 + ... + 247385.

It is an arithmetic number, because the mean of its divisors is an integer number (98739000).

Almost surely, 22314314024 is an apocalyptic number.

2314314024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2314314024 is an abundant number, since it is smaller than the sum of its proper divisors (4004981976).

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

2314314024 is a wasteful number, since it uses less digits than its factorization.

2314314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10478 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2314314024 is about 48107.3177801465. The cubic root of 2314314024 is about 1322.7388083894.

Adding to 2314314024 its reverse (4204134132), we get a palindrome (6518448156).

The spelling of 2314314024 in words is "two billion, three hundred fourteen million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 919 1838 2757 3676 5514 7352 9539 10109 11028 19078 20218 22056 28617 30327 38156 40436 57234 60654 76312 80872 104929 114468 121308 209858 228936 242616 314787 419716 629574 839432 1259148 2518296 8766341 17532682 26299023 35065364 52598046 70130728 96429751 105196092 192859502 210392184 289289253 385719004 578578506 771438008 1157157012 2314314024