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242107074 = 232115323071
BaseRepresentation
bin11100110111001…
…00001011000010
3121212120022110200
432123210023002
5443434411244
640005110030
75666606346
oct1633441302
9555508420
10242107074
111147326a0
12690b8316
133b20ac31
1424223626
15163c5669
hexe6e42c2

242107074 has 48 divisors (see below), whose sum is σ = 583075584. Its totient is φ = 71978400.

The previous prime is 242107069. The next prime is 242107093. The reversal of 242107074 is 470701242.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1042 + ... + 22029.

It is an arithmetic number, because the mean of its divisors is an integer number (12147408).

Almost surely, 2242107074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242107074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291537792).

242107074 is an abundant number, since it is smaller than the sum of its proper divisors (340968510).

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

242107074 is a wasteful number, since it uses less digits than its factorization.

242107074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23143 (or 23140 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 242107074 is about 15559.7902942167. The cubic root of 242107074 is about 623.2598627187.

The spelling of 242107074 in words is "two hundred forty-two million, one hundred seven thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 10494 23071 46142 69213 138426 207639 253781 415278 507562 761343 1222763 1522686 2284029 2445526 3668289 4568058 7336578 11004867 13450393 22009734 26900786 40351179 80702358 121053537 242107074