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130338384 = 24311317963
BaseRepresentation
bin1111100010011…
…00111001010000
3100002020212122120
413301030321100
5231331312014
620533334240
73141600201
oct761147120
9302225576
10130338384
1167633180
1237797380
1321006807
141344b5a8
15b698ba9
hex7c4ce50

130338384 has 80 divisors (see below), whose sum is σ = 379213824. Its totient is φ = 38217600.

The previous prime is 130338349. The next prime is 130338391. The reversal of 130338384 is 483833031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12387 + ... + 20349.

Almost surely, 2130338384 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 130338384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189606912).

130338384 is an abundant number, since it is smaller than the sum of its proper divisors (248875440).

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

130338384 is a wasteful number, since it uses less digits than its factorization.

130338384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 130338384 is about 11416.5837271926. The cubic root of 130338384 is about 507.0188556257.

The spelling of 130338384 in words is "one hundred thirty million, three hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 7963 8184 15926 16368 23889 31852 47778 63704 87593 95556 127408 175186 191112 246853 262779 350372 382224 493706 525558 700744 740559 987412 1051116 1401488 1481118 1974824 2102232 2715383 2962236 3949648 4204464 5430766 5924472 8146149 10861532 11848944 16292298 21723064 32584596 43446128 65169192 130338384