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242680452 = 223723592129
BaseRepresentation
bin11100111011100…
…00001010000100
3121220122102222220
432131300022010
5444111233302
640025252340
76004515120
oct1635601204
9556572886
10242680452
11114a94463
12693340b0
133b37bc01
1424332580
151648a4bc
hexe770284

242680452 has 96 divisors (see below), whose sum is σ = 687052800. Its totient is φ = 65167872.

The previous prime is 242680391. The next prime is 242680507. The reversal of 242680452 is 254086242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112924 + ... + 115052.

It is an arithmetic number, because the mean of its divisors is an integer number (7156800).

Almost surely, 2242680452 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 242680452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343526400).

242680452 is an abundant number, since it is smaller than the sum of its proper divisors (444372348).

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

242680452 is a wasteful number, since it uses less digits than its factorization.

242680452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 242680452 is about 15578.2043894667. The cubic root of 242680452 is about 623.7514933371.

The spelling of 242680452 in words is "two hundred forty-two million, six hundred eighty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 59 69 84 92 118 138 161 177 236 276 322 354 413 483 644 708 826 966 1239 1357 1652 1932 2129 2478 2714 4071 4258 4956 5428 6387 8142 8516 9499 12774 14903 16284 18998 25548 28497 29806 37996 44709 48967 56994 59612 89418 97934 113988 125611 146901 178836 195868 251222 293802 342769 376833 502444 587604 685538 753666 879277 1028307 1371076 1507332 1758554 2056614 2637831 2889053 3517108 4113228 5275662 5778106 8667159 10551324 11556212 17334318 20223371 34668636 40446742 60670113 80893484 121340226 242680452