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242337936 = 24323227967
BaseRepresentation
bin11100111000111…
…00100010010000
3121220000001011010
432130130202100
5444014303221
640014050520
76001560411
oct1634344220
9556001133
10242337936
11114880095
12691a9a40
133b28c039
1424283808
151641dc76
hexe71c890

242337936 has 80 divisors (see below), whose sum is σ = 656815104. Its totient is φ = 76847232.

The previous prime is 242337923. The next prime is 242337961. The reversal of 242337936 is 639733242.

It is a junction number, because it is equal to n+sod(n) for n = 242337894 and 242337903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250125 + ... + 251091.

Almost surely, 2242337936 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 242337936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328407552).

242337936 is an abundant number, since it is smaller than the sum of its proper divisors (414477168).

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

242337936 is a wasteful number, since it uses less digits than its factorization.

242337936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its digits is 163296, while the sum is 39.

The square root of 242337936 is about 15567.2070712765. The cubic root of 242337936 is about 623.4579036180.

The spelling of 242337936 in words is "two hundred forty-two million, three hundred thirty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 227 276 368 454 552 681 908 967 1104 1362 1816 1934 2724 2901 3632 3868 5221 5448 5802 7736 10442 10896 11604 15472 15663 20884 22241 23208 31326 41768 44482 46416 62652 66723 83536 88964 125304 133446 177928 219509 250608 266892 355856 439018 533784 658527 878036 1067568 1317054 1756072 2634108 3512144 5048707 5268216 10097414 10536432 15146121 20194828 30292242 40389656 60584484 80779312 121168968 242337936