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242992134 = 232711199881
BaseRepresentation
bin11100111101111…
…00010000000110
3121221020021112200
432132330100012
5444201222014
640040055330
76010253610
oct1636742006
9557207480
10242992134
11115187650
1269464546
133b45aa38
14243b3db0
15164eca09
hexe7bc406

242992134 has 96 divisors (see below), whose sum is σ = 660441600. Its totient is φ = 62726400.

The previous prime is 242992111. The next prime is 242992147. The reversal of 242992134 is 431299242.

242992134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 275374 + ... + 276254.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2242992134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242992134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

242992134 is an abundant number, since it is smaller than the sum of its proper divisors (417449466).

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

242992134 is a wasteful number, since it uses less digits than its factorization.

242992134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1103 counting only the distinct ones).

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

The square root of 242992134 is about 15588.2049640104. The cubic root of 242992134 is about 624.0184135345.

The spelling of 242992134 in words is "two hundred forty-two million, nine hundred ninety-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 199 231 398 462 597 693 881 1194 1386 1393 1762 1791 2189 2643 2786 3582 4179 4378 5286 6167 6567 7929 8358 9691 12334 12537 13134 15323 15858 18501 19382 19701 25074 29073 30646 37002 39402 45969 55503 58146 67837 87219 91938 111006 135674 137907 174438 175319 203511 275814 350638 407022 525957 610533 1051914 1221066 1227233 1577871 1928509 2454466 3155742 3681699 3857018 5785527 7363398 11045097 11571054 13499563 17356581 22090194 26999126 34713162 40498689 80997378 121496067 242992134