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130452324 = 22329412223
BaseRepresentation
bin1111100011010…
…00101101100100
3100002110122221120
413301220231210
5231343433244
620540013540
73142553322
oct761505544
9302418846
10130452324
1167700842
12378312b0
1321046632
141347ad12
15b6bc819
hex7c68b64

130452324 has 72 divisors (see below), whose sum is σ = 324199680. Its totient is φ = 40776960.

The previous prime is 130452299. The next prime is 130452341. The reversal of 130452324 is 423254031.

130452324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130452294 and 130452303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584877 + ... + 585099.

Almost surely, 2130452324 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 130452324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162099840).

130452324 is an abundant number, since it is smaller than the sum of its proper divisors (193747356).

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

130452324 is a wasteful number, since it uses less digits than its factorization.

130452324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 130452324 is about 11421.5727463428. The cubic root of 130452324 is about 507.1665555357.

It can be divided in two parts, 1304 and 52324, that added together give a triangular number (53628 = T327).

The spelling of 130452324 in words is "one hundred thirty million, four hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 223 246 348 446 492 669 892 1189 1338 1681 2378 2676 3362 3567 4756 5043 6467 6724 7134 9143 10086 12934 14268 18286 19401 20172 25868 27429 36572 38802 48749 54858 77604 97498 109716 146247 194996 265147 292494 374863 530294 584988 749726 795441 1060588 1124589 1499452 1590882 2249178 3181764 4498356 10871027 21742054 32613081 43484108 65226162 130452324