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2314406276 = 2271317935521
BaseRepresentation
bin1000100111110011…
…0000100110000100
312222021222000112222
42021330300212010
514214442000101
61021353431512
7111232062110
oct21174604604
95867860488
102314406276
11a88470766
1254710b598
132ab64a490
1417d53c740
15d82ba01b
hex89f30984

2314406276 has 48 divisors (see below), whose sum is σ = 5012864640. Its totient is φ = 910448640.

The previous prime is 2314406261. The next prime is 2314406293. The reversal of 2314406276 is 6726044132.

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, 47396 + ... + 82916.

It is an arithmetic number, because the mean of its divisors is an integer number (104434680).

Almost surely, 22314406276 is an apocalyptic number.

2314406276 is a gapful number since it is divisible by the number (26) 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 2314406276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506432320).

2314406276 is an abundant number, since it is smaller than the sum of its proper divisors (2698458364).

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

2314406276 is a wasteful number, since it uses less digits than its factorization.

2314406276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35724 (or 35722 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 2314406276 is about 48108.2765852197. The cubic root of 2314406276 is about 1322.7563836015.

The spelling of 2314406276 in words is "two billion, three hundred fourteen million, four hundred six thousand, two hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 179 182 358 364 716 1253 2327 2506 4654 5012 9308 16289 32578 35521 65156 71042 142084 248647 461773 497294 923546 994588 1847092 3232411 6358259 6464822 12716518 12929644 25433036 44507813 82657367 89015626 165314734 178031252 330629468 578601569 1157203138 2314406276