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130386348 = 22341073761
BaseRepresentation
bin1111100010110…
…00100110101100
3100002100022110000
413301120212230
5231334330343
620534344300
73142160061
oct761304654
9302308400
10130386348
1167666214
12377bb090
13210225b1
1413460c68
15b6a7ed3
hex7c589ac

130386348 has 60 divisors (see below), whose sum is σ = 344132712. Its totient is φ = 43044480.

The previous prime is 130386343. The next prime is 130386391. The reversal of 130386348 is 843683031.

It is a happy number.

130386348 is a `hidden beast` number, since 1 + 303 + 8 + 6 + 348 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130386343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32788 + ... + 36548.

Almost surely, 2130386348 is an apocalyptic number.

130386348 is a gapful number since it is divisible by the number (18) 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 130386348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172066356).

130386348 is an abundant number, since it is smaller than the sum of its proper divisors (213746364).

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

130386348 is a wasteful number, since it uses less digits than its factorization.

130386348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 130386348 is about 11418.6841623718. The cubic root of 130386348 is about 507.0810416301.

The spelling of 130386348 in words is "one hundred thirty million, three hundred eighty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 321 324 428 642 963 1284 1926 2889 3761 3852 5778 7522 8667 11283 11556 15044 17334 22566 33849 34668 45132 67698 101547 135396 203094 304641 402427 406188 609282 804854 1207281 1218564 1609708 2414562 3621843 4829124 7243686 10865529 14487372 21731058 32596587 43462116 65193174 130386348