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2314333406 = 272114614657
BaseRepresentation
bin1000100111110001…
…1110110011011110
312222021211022121002
42021330132303132
514214432132111
61021352110302
7111231336500
oct21174366336
95867738532
102314333406
11a88420a40
12547095392
132ab623268
1417d51dd70
15d82a363b
hex89f1ecde

2314333406 has 48 divisors (see below), whose sum is σ = 4415895792. Its totient is φ = 899539200.

The previous prime is 2314333391. The next prime is 2314333421. The reversal of 2314333406 is 6043334132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2314333391) and next prime (2314333421).

It is a super-2 number, since 2×23143334062 = 10712278228255121672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494630 + ... + 499286.

It is an arithmetic number, because the mean of its divisors is an integer number (91997829).

Almost surely, 22314333406 is an apocalyptic number.

2314333406 is a deficient number, since it is larger than the sum of its proper divisors (2101562386).

2314333406 is a wasteful number, since it uses less digits than its factorization.

2314333406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The square root of 2314333406 is about 48107.5192251689. The cubic root of 2314333406 is about 1322.7425009526.

Adding to 2314333406 its reverse (6043334132), we get a palindrome (8357667538).

The spelling of 2314333406 in words is "two billion, three hundred fourteen million, three hundred thirty-three thousand, four hundred six".

Divisors: 1 2 7 11 14 22 49 77 98 154 461 539 922 1078 3227 4657 5071 6454 9314 10142 22589 32599 35497 45178 51227 65198 70994 102454 228193 248479 358589 456386 496958 717178 2146877 2510123 4293754 5020246 15028139 23615647 30056278 47231294 105196973 165309529 210393946 330619058 1157166703 2314333406