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242634132 = 2232131730497
BaseRepresentation
bin11100111011001…
…00110110010100
3121220120002110100
432131210312110
5444103243012
640024254100
76004233066
oct1635446624
9556502410
10242634132
11114a62684
1269311330
133b363ac0
142431d736
151647b8dc
hexe764d94

242634132 has 72 divisors (see below), whose sum is σ = 699380136. Its totient is φ = 70262784.

The previous prime is 242634131. The next prime is 242634167. The reversal of 242634132 is 231436242.

242634132 is a `hidden beast` number, since 24 + 2 + 634 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52359696 + 190274436 = 7236^2 + 13794^2 .

It is a super-2 number, since 2×2426341322 = 117742644022786848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242634096 and 242634105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242634131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7293 + ... + 23204.

It is an arithmetic number, because the mean of its divisors is an integer number (9713613).

Almost surely, 2242634132 is an apocalyptic number.

It is an amenable number.

242634132 is an abundant number, since it is smaller than the sum of its proper divisors (456746004).

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

242634132 is a wasteful number, since it uses less digits than its factorization.

242634132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30537 (or 30532 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 242634132 is about 15576.7176259955. The cubic root of 242634132 is about 623.7118060209.

The spelling of 242634132 in words is "two hundred forty-two million, six hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 30497 60994 91491 121988 182982 274473 365964 396461 518449 548946 792922 1036898 1097892 1189383 1555347 1585844 2073796 2378766 3110694 3568149 4666041 4757532 6221388 6739837 7136298 9332082 13479674 14272596 18664164 20219511 26959348 40439022 60658533 80878044 121317066 242634132