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242504364 = 223233723747
BaseRepresentation
bin11100111010001…
…01001010101100
3121220022111110010
432131011022230
5444040114424
640021413220
76003152544
oct1635051254
9556274403
10242504364
11114984133
126926a210
133b319a0b
14242c8324
1516453229
hexe7452ac

242504364 has 48 divisors (see below), whose sum is σ = 606428928. Its totient is φ = 75227328.

The previous prime is 242504347. The next prime is 242504369. The reversal of 242504364 is 463405242.

242504364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242504369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1662 + ... + 22085.

It is an arithmetic number, because the mean of its divisors is an integer number (12633936).

Almost surely, 2242504364 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 242504364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303214464).

242504364 is an abundant number, since it is smaller than the sum of its proper divisors (363924564).

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

242504364 is a wasteful number, since it uses less digits than its factorization.

242504364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23814 (or 23812 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 242504364 is about 15572.5516213625. The cubic root of 242504364 is about 623.6005929411.

The spelling of 242504364 in words is "two hundred forty-two million, five hundred four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 10212 23747 47494 71241 94988 142482 284964 546181 878639 1092362 1638543 1757278 2184724 2635917 3277086 3514556 5271834 6554172 10543668 20208697 40417394 60626091 80834788 121252182 242504364