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242673144 = 23371444483
BaseRepresentation
bin11100111011011…
…10010111111000
3121220122001222020
432131232113320
5444111020034
640025154440
76004454610
oct1635562770
9556561866
10242673144
11114a89a1a
126932ba20
133b37879c
142432da40
1516488249
hexe76e5f8

242673144 has 32 divisors (see below), whose sum is σ = 693352320. Its totient is φ = 69335136.

The previous prime is 242673139. The next prime is 242673163. The reversal of 242673144 is 441376242.

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 7 ways as a sum of consecutive naturals, for example, 722074 + ... + 722409.

It is an arithmetic number, because the mean of its divisors is an integer number (21667260).

Almost surely, 2242673144 is an apocalyptic number.

242673144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242673144 is an abundant number, since it is smaller than the sum of its proper divisors (450679176).

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

242673144 is a wasteful number, since it uses less digits than its factorization.

242673144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444499 (or 1444495 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 242673144 is about 15577.9698292172. The cubic root of 242673144 is about 623.7452321246.

The spelling of 242673144 in words is "two hundred forty-two million, six hundred seventy-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1444483 2888966 4333449 5777932 8666898 10111381 11555864 17333796 20222762 30334143 34667592 40445524 60668286 80891048 121336572 242673144