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130344104 = 23112192373
BaseRepresentation
bin1111100010011…
…10010010101000
3100002021011111102
413301032102220
5231332002404
620533420532
73141622652
oct761162250
9302234442
10130344104
1167637500
123779a748
13210092b7
141344d6d2
15b69a71e
hex7c4e4a8

130344104 has 72 divisors (see below), whose sum is σ = 284275530. Its totient is φ = 55978560.

The previous prime is 130344103. The next prime is 130344107. The reversal of 130344104 is 401443031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 109202500 + 21141604 = 10450^2 + 4598^2 .

It is not an unprimeable number, because it can be changed into a prime (130344103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 349262 + ... + 349634.

Almost surely, 2130344104 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 130344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142137765).

130344104 is an abundant number, since it is smaller than the sum of its proper divisors (153931426).

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

130344104 is a wasteful number, since it uses less digits than its factorization.

130344104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 130344104 is about 11416.8342372130. The cubic root of 130344104 is about 507.0262724878.

Adding to 130344104 its reverse (401443031), we get a palindrome (531787135).

The spelling of 130344104 in words is "one hundred thirty million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 361 373 418 484 722 746 836 968 1444 1492 1672 2299 2888 2984 3971 4103 4598 7087 7942 8206 9196 14174 15884 16412 18392 28348 31768 32824 43681 45133 56696 77957 87362 90266 134653 155914 174724 180532 269306 311828 349448 361064 538612 623656 857527 1077224 1481183 1715054 2962366 3430108 5924732 6860216 11849464 16293013 32586026 65172052 130344104