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241054272 = 2633199701
BaseRepresentation
bin11100101111000…
…11001001000000
3121210120211022000
432113203021000
5443202214042
635530344000
75654633064
oct1627431100
9553524260
10241054272
11114083708
126888b000
133ac2c984
142402baa4
151626874c
hexe5e3240

241054272 has 112 divisors (see below), whose sum is σ = 713232000. Its totient is φ = 79833600.

The previous prime is 241054267. The next prime is 241054277. The reversal of 241054272 is 272450142.

241054272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241054267) and next prime (241054277).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (241054277) 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, 343522 + ... + 344222.

Almost surely, 2241054272 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 241054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356616000).

241054272 is an abundant number, since it is smaller than the sum of its proper divisors (472177728).

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

241054272 is a wasteful number, since it uses less digits than its factorization.

241054272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 241054272 is about 15525.9225812832. The cubic root of 241054272 is about 622.3551354007.

The spelling of 241054272 in words is "two hundred forty-one million, fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 199 216 288 398 432 576 597 701 796 864 1194 1402 1592 1728 1791 2103 2388 2804 3184 3582 4206 4776 5373 5608 6309 6368 7164 8412 9552 10746 11216 12618 12736 14328 16824 18927 19104 21492 22432 25236 28656 33648 37854 38208 42984 44864 50472 57312 67296 75708 85968 100944 114624 134592 139499 151416 171936 201888 278998 302832 343872 403776 418497 557996 605664 836994 1115992 1211328 1255491 1673988 2231984 2510982 3347976 3766473 4463968 5021964 6695952 7532946 8927936 10043928 13391904 15065892 20087856 26783808 30131784 40175712 60263568 80351424 120527136 241054272