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1314237340 = 2251319012659
BaseRepresentation
bin100111001010101…
…1010101110011100
310101120222011201001
41032111122232130
510142421043330
6334224400044
744365555513
oct11625325634
93346864631
101314237340
11614941a69
12308176024
1317c381440
14c678967a
157a5a39ca
hex4e55ab9c

1314237340 has 48 divisors (see below), whose sum is σ = 2974880160. Its totient is φ = 484819200.

The previous prime is 1314237311. The next prime is 1314237367. The reversal of 1314237340 is 437324131.

It is a junction number, because it is equal to n+sod(n) for n = 1314237299 and 1314237308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492931 + ... + 495589.

It is an arithmetic number, because the mean of its divisors is an integer number (61976670).

Almost surely, 21314237340 is an apocalyptic number.

1314237340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314237340 is an abundant number, since it is smaller than the sum of its proper divisors (1660642820).

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

1314237340 is a wasteful number, since it uses less digits than its factorization.

1314237340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 1314237340 is about 36252.4115059950. The cubic root of 1314237340 is about 1095.3626649124.

The spelling of 1314237340 in words is "one billion, three hundred fourteen million, two hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1901 2659 3802 5318 7604 9505 10636 13295 19010 24713 26590 34567 38020 49426 53180 69134 98852 123565 138268 172835 247130 345670 494260 691340 5054759 10109518 20219036 25273795 50547590 65711867 101095180 131423734 262847468 328559335 657118670 1314237340