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242670978 = 2361115131
BaseRepresentation
bin11100111011011…
…01110110000010
3121220121222000000
432131231312002
5444110432403
640025140430
76004445364
oct1635556602
9556558000
10242670978
11114a88330
126932a716
133b3777c4
142432cd34
15164877a3
hexe76dd82

242670978 has 56 divisors (see below), whose sum is σ = 595413936. Its totient is φ = 73531800.

The previous prime is 242670959. The next prime is 242670979. The reversal of 242670978 is 879076242.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242670979) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8473 + ... + 23603.

Almost surely, 2242670978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242670978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297706968).

242670978 is an abundant number, since it is smaller than the sum of its proper divisors (352742958).

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

242670978 is a wasteful number, since it uses less digits than its factorization.

242670978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15162 (or 15147 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 242670978 is about 15577.9003078079. The cubic root of 242670978 is about 623.7433763552.

The spelling of 242670978 in words is "two hundred forty-two million, six hundred seventy thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 5346 8019 15131 16038 30262 45393 90786 136179 166441 272358 332882 408537 499323 817074 998646 1225611 1497969 2451222 2995938 3676833 4493907 7353666 8987814 11030499 13481721 22060998 26963442 40445163 80890326 121335489 242670978