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242914932 = 2232136167127
BaseRepresentation
bin11100111101010…
…01011001110100
3121221002100122100
432132221121310
5444141234212
640034302100
76006512541
oct1636513164
9557070570
10242914932
11115134647
1269427930
133b431860
1424393bc8
15164d4bdc
hexe7a9674

242914932 has 144 divisors (see below), whose sum is σ = 687511552. Its totient is φ = 71850240.

The previous prime is 242914913. The next prime is 242914949. The reversal of 242914932 is 239419242.

242914932 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1912653 + ... + 1912779.

Almost surely, 2242914932 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 242914932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343755776).

242914932 is an abundant number, since it is smaller than the sum of its proper divisors (444596620).

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

242914932 is a wasteful number, since it uses less digits than its factorization.

242914932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 273 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 242914932 is about 15585.7284719066. The cubic root of 242914932 is about 623.9523200748.

The spelling of 242914932 in words is "two hundred forty-two million, nine hundred fourteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 67 78 117 122 127 134 156 183 201 234 244 254 268 366 381 402 468 508 549 603 732 762 793 804 871 1098 1143 1206 1524 1586 1651 1742 2196 2286 2379 2412 2613 3172 3302 3484 4087 4572 4758 4953 5226 6604 7137 7747 7839 8174 8509 9516 9906 10452 12261 14274 14859 15494 15678 16348 17018 19812 23241 24522 25527 28548 29718 30988 31356 34036 36783 46482 49044 51054 53131 59436 69723 73566 76581 92964 100711 102108 106262 110617 139446 147132 153162 159393 201422 212524 221234 278892 302133 306324 318786 331851 402844 442468 478179 519049 604266 637572 663702 906399 956358 995553 1038098 1208532 1327404 1557147 1812798 1912716 1991106 2076196 3114294 3625596 3982212 4671441 6228588 6747637 9342882 13495274 18685764 20242911 26990548 40485822 60728733 80971644 121457466 242914932