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242793774 = 23412711801
BaseRepresentation
bin11100111100010…
…11110100101110
3121220212012110000
432132023310232
5444123400044
640031525130
76005466366
oct1636136456
9556765400
10242793774
11115061613
12693897a6
133b3bb672
14243619a6
15164add69
hexe78bd2e

242793774 has 40 divisors (see below), whose sum is σ = 548368128. Its totient is φ = 80287200.

The previous prime is 242793757. The next prime is 242793809. The reversal of 242793774 is 477397242.

242793774 is a `hidden beast` number, since 2 + 4 + 279 + 377 + 4 = 666.

242793774 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2427937743 (a number of 26 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14674 + ... + 26474.

Almost surely, 2242793774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242793774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274184064).

242793774 is an abundant number, since it is smaller than the sum of its proper divisors (305574354).

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

242793774 is a wasteful number, since it uses less digits than its factorization.

242793774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11942 (or 11933 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 242793774 is about 15581.8411620707. The cubic root of 242793774 is about 623.8485671732.

The spelling of 242793774 in words is "two hundred forty-two million, seven hundred ninety-three thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 1143 2286 3429 6858 10287 11801 20574 23602 35403 70806 106209 212418 318627 637254 955881 1498727 1911762 2997454 4496181 8992362 13488543 26977086 40465629 80931258 121396887 242793774