Search a number
-
+
242355402 = 2343740433
BaseRepresentation
bin11100111001000…
…00110011001010
3121220000221010000
432130200303022
5444020333102
640014303430
76001662342
oct1634406312
9556027100
10242355402
11114892223
12691b7b76
133b296c83
1424289d22
151642401c
hexe720cca

242355402 has 40 divisors (see below), whose sum is σ = 557746596. Its totient is φ = 78599808.

The previous prime is 242355391. The next prime is 242355403. The reversal of 242355402 is 204553242.

It is a happy number.

242355402 is a `hidden beast` number, since 24 + 235 + 5 + 402 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242144721 + 210681 = 15561^2 + 459^2 .

It is a super-2 number, since 2×2423554022 = 117472281757163208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242355403) 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 19 ways as a sum of consecutive naturals, for example, 14223 + ... + 26210.

Almost surely, 2242355402 is an apocalyptic number.

242355402 is an abundant number, since it is smaller than the sum of its proper divisors (315391194).

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

242355402 is a wasteful number, since it uses less digits than its factorization.

242355402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40484 (or 40475 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 242355402 is about 15567.7680481179. The cubic root of 242355402 is about 623.4728813998.

The spelling of 242355402 in words is "two hundred forty-two million, three hundred fifty-five thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 40433 80866 121299 242598 363897 727794 1091691 1496021 2183382 2992042 3275073 4488063 6550146 8976126 13464189 26928378 40392567 80785134 121177701 242355402