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242355432 = 233115317321
BaseRepresentation
bin11100111001000…
…00110011101000
3121220000221011010
432130200303220
5444020333212
640014303520
76001662414
oct1634406350
9556027133
10242355432
11114892250
12691b7ba0
133b296ca7
1424289d44
151642403c
hexe720ce8

242355432 has 64 divisors (see below), whose sum is σ = 673479360. Its totient is φ = 72051200.

The previous prime is 242355413. The next prime is 242355433. The reversal of 242355432 is 234553242.

It is a self number, because there is not a number n which added to its sum of digits gives 242355432.

It is not an unprimeable number, because it can be changed into a prime (242355433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5332 + ... + 22652.

It is an arithmetic number, because the mean of its divisors is an integer number (10523115).

Almost surely, 2242355432 is an apocalyptic number.

242355432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242355432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336739680).

242355432 is an abundant number, since it is smaller than the sum of its proper divisors (431123928).

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

242355432 is a wasteful number, since it uses less digits than its factorization.

242355432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17394 (or 17390 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 242355432 is about 15567.7690116471. The cubic root of 242355432 is about 623.4729071253.

The spelling of 242355432 in words is "two hundred forty-two million, three hundred fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 4664 6996 13992 17321 34642 51963 69284 103926 138568 190531 207852 381062 415704 571593 762124 918013 1143186 1524248 1836026 2286372 2754039 3672052 4572744 5508078 7344104 10098143 11016156 20196286 22032312 30294429 40392572 60588858 80785144 121177716 242355432