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242666364 = 223172167419
BaseRepresentation
bin11100111011011…
…00101101111100
3121220121201200010
432131230231330
5444110310424
640025103220
76004426053
oct1635545574
9556551603
10242666364
11114a84916
1269327b10
133b375685
142432b39a
1516486229
hexe76cb7c

242666364 has 72 divisors (see below), whose sum is σ = 606533760. Its totient is φ = 75494144.

The previous prime is 242666341. The next prime is 242666377. The reversal of 242666364 is 463666242.

It is a happy number.

242666364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 578947 + ... + 579365.

It is an arithmetic number, because the mean of its divisors is an integer number (8424080).

Almost surely, 2242666364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242666364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303266880).

242666364 is an abundant number, since it is smaller than the sum of its proper divisors (363867396).

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

242666364 is a wasteful number, since it uses less digits than its factorization.

242666364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 608 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 242666364 is about 15577.7522126910. The cubic root of 242666364 is about 623.7394231697.

The spelling of 242666364 in words is "two hundred forty-two million, six hundred sixty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 289 334 419 501 578 668 838 867 1002 1156 1257 1676 1734 2004 2514 2839 3468 5028 5678 7123 8517 11356 14246 17034 21369 28492 34068 42738 48263 69973 85476 96526 121091 139946 144789 193052 209919 242182 279892 289578 363273 419838 484364 579156 726546 839676 1189541 1453092 2379082 3568623 4758164 7137246 14274492 20222197 40444394 60666591 80888788 121333182 242666364