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130312340 = 2257738429
BaseRepresentation
bin1111100010001…
…10100010010100
3100002012112220222
413301012202110
5231324443330
620533013512
73141431234
oct761064224
9302175828
10130312340
1167615654
1237784298
1320cc79c2
1413441cc4
15b6910e5
hex7c46894

130312340 has 24 divisors (see below), whose sum is σ = 274042440. Its totient is φ = 52051328.

The previous prime is 130312339. The next prime is 130312349. The reversal of 130312340 is 43213031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2079364 + 128232976 = 1442^2 + 11324^2 .

It is a super-3 number, since 3×1303123403 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130312349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11246 + ... + 19674.

It is an arithmetic number, because the mean of its divisors is an integer number (11418435).

Almost surely, 2130312340 is an apocalyptic number.

130312340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130312340 is an abundant number, since it is smaller than the sum of its proper divisors (143730100).

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

130312340 is a wasteful number, since it uses less digits than its factorization.

130312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9211 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 130312340 is about 11415.4430487826. The cubic root of 130312340 is about 506.9850828202.

Adding to 130312340 its reverse (43213031), we get a palindrome (173525371).

The spelling of 130312340 in words is "one hundred thirty million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 773 1546 3092 3865 7730 8429 15460 16858 33716 42145 84290 168580 6515617 13031234 26062468 32578085 65156170 130312340