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242731320 = 233513211969
BaseRepresentation
bin11100111011111…
…00100100111000
3121220202000202220
432131330210320
5444114400240
640030324040
76005116326
oct1635744470
9556660686
10242731320
111150196a7
1269359620
133b399100
1424346d16
151649a5d0
hexe77c938

242731320 has 96 divisors (see below), whose sum is σ = 788583600. Its totient is φ = 59744256.

The previous prime is 242731301. The next prime is 242731331. The reversal of 242731320 is 23137242.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14296 + ... + 26264.

Almost surely, 2242731320 is an apocalyptic number.

242731320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242731320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394291800).

242731320 is an abundant number, since it is smaller than the sum of its proper divisors (545852280).

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

242731320 is a wasteful number, since it uses less digits than its factorization.

242731320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 242731320 is about 15579.8369696220. The cubic root of 242731320 is about 623.7950715955.

Adding to 242731320 its reverse (23137242), we get a palindrome (265868562).

The spelling of 242731320 in words is "two hundred forty-two million, seven hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2535 3380 4056 5070 6760 10140 11969 20280 23938 35907 47876 59845 71814 95752 119690 143628 155597 179535 239380 287256 311194 359070 466791 478760 622388 718140 777985 933582 1244776 1436280 1555970 1867164 2022761 2333955 3111940 3734328 4045522 4667910 6068283 6223880 8091044 9335820 10113805 12136566 16182088 18671640 20227610 24273132 30341415 40455220 48546264 60682830 80910440 121365660 242731320