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242662134 = 2311131511873
BaseRepresentation
bin11100111011010…
…11101011110110
3121220121111212110
432131223223312
5444110142014
640025031450
76004410531
oct1635535366
9556544773
10242662134
11114a81720
1269325586
133b373780
1424329a18
1516484d59
hexe76baf6

242662134 has 64 divisors (see below), whose sum is σ = 574253568. Its totient is φ = 67392000.

The previous prime is 242662127. The next prime is 242662153. The reversal of 242662134 is 431266242.

It is a super-2 number, since 2×2426621342 = 117769822554867912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128622 + ... + 130494.

It is an arithmetic number, because the mean of its divisors is an integer number (8972712).

Almost surely, 2242662134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242662134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287126784).

242662134 is an abundant number, since it is smaller than the sum of its proper divisors (331591434).

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

242662134 is a wasteful number, since it uses less digits than its factorization.

242662134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053.

The product of its digits is 13824, while the sum is 30.

The square root of 242662134 is about 15577.6164415484. The cubic root of 242662134 is about 623.7357989439.

The spelling of 242662134 in words is "two hundred forty-two million, six hundred sixty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 151 286 302 429 453 858 906 1661 1873 1963 3322 3746 3926 4983 5619 5889 9966 11238 11778 20603 21593 24349 41206 43186 48698 61809 64779 73047 123618 129558 146094 267839 282823 535678 565646 803517 848469 1607034 1696938 3111053 3676699 6222106 7353398 9333159 11030097 18666318 22060194 40443689 80887378 121331067 242662134