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242904696 = 233292631327
BaseRepresentation
bin11100111101001…
…10111001111000
3121221001211121020
432132212321320
5444140422241
640034142440
76006440646
oct1636467170
9557054536
10242904696
11115127991
1269421a20
133b429cb8
1424390196
15164d1b66
hexe7a6e78

242904696 has 64 divisors (see below), whose sum is σ = 631065600. Its totient is φ = 77820288.

The previous prime is 242904689. The next prime is 242904707. The reversal of 242904696 is 696409242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182385 + ... + 183711.

It is an arithmetic number, because the mean of its divisors is an integer number (9860400).

Almost surely, 2242904696 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 242904696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315532800).

242904696 is an abundant number, since it is smaller than the sum of its proper divisors (388160904).

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

242904696 is a wasteful number, since it uses less digits than its factorization.

242904696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 242904696 is about 15585.4000911109. The cubic root of 242904696 is about 623.9435558741.

The spelling of 242904696 in words is "two hundred forty-two million, nine hundred four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 263 348 526 696 789 1052 1327 1578 2104 2654 3156 3981 5308 6312 7627 7962 10616 15254 15924 22881 30508 31848 38483 45762 61016 76966 91524 115449 153932 183048 230898 307864 349001 461796 698002 923592 1047003 1396004 2094006 2792008 4188012 8376024 10121029 20242058 30363087 40484116 60726174 80968232 121452348 242904696