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5306330344 = 237240133757
BaseRepresentation
bin1001111000100100…
…00010110011101000
3111200210210111210111
410330102002303220
541331410032334
62234313024104
7245332030600
oct47422026350
914623714714
105306330344
112283315587
1210410b5034
13667464b53
14384a41c00
15210cb6064
hex13c482ce8

5306330344 has 48 divisors (see below), whose sum is σ = 11602962180. Its totient is φ = 2268403200.

The previous prime is 5306330329. The next prime is 5306330347. The reversal of 5306330344 is 4430336035.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4468922500 + 837407844 = 66850^2 + 28938^2 .

It is not an unprimeable number, because it can be changed into a prime (5306330347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140314 + ... + 174070.

Almost surely, 25306330344 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 5306330344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801481090).

5306330344 is an abundant number, since it is smaller than the sum of its proper divisors (6296631836).

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

5306330344 is a wasteful number, since it uses less digits than its factorization.

5306330344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34178 (or 34167 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 31.

The square root of 5306330344 is about 72844.5628993681. The cubic root of 5306330344 is about 1744.2072785156.

Adding to 5306330344 its reverse (4430336035), we get a palindrome (9736666379).

The spelling of 5306330344 in words is "five billion, three hundred six million, three hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 401 802 1604 2807 3208 5614 11228 19649 22456 33757 39298 67514 78596 135028 157192 236299 270056 472598 945196 1654093 1890392 3308186 6616372 13232744 13536557 27073114 54146228 94755899 108292456 189511798 379023596 663291293 758047192 1326582586 2653165172 5306330344