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241011264 = 26313223433
BaseRepresentation
bin11100101110110…
…00101001000000
3121210111122022010
432113120221000
5443144330024
635525412520
75654363514
oct1627305100
9553448263
10241011264
1111405436a
126886a140
133ac16220
142401a144
151625ab29
hexe5d8a40

241011264 has 112 divisors (see below), whose sum is σ = 691400192. Its totient is φ = 73654272.

The previous prime is 241011263. The next prime is 241011269. The reversal of 241011264 is 462110142.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 241011264.

It is not an unprimeable number, because it can be changed into a prime (241011263) 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, 556392 + ... + 556824.

It is an arithmetic number, because the mean of its divisors is an integer number (6173216).

Almost surely, 2241011264 is an apocalyptic number.

241011264 is a gapful number since it is divisible by the number (24) 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 241011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345700096).

241011264 is an abundant number, since it is smaller than the sum of its proper divisors (450388928).

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

241011264 is a wasteful number, since it uses less digits than its factorization.

241011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 241011264 is about 15524.5374810331. The cubic root of 241011264 is about 622.3181204422.

The spelling of 241011264 in words is "two hundred forty-one million, eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 223 312 416 433 446 624 669 832 866 892 1248 1299 1338 1732 1784 2496 2598 2676 2899 3464 3568 5196 5352 5629 5798 6928 7136 8697 10392 10704 11258 11596 13856 14272 16887 17394 20784 21408 22516 23192 27712 33774 34788 41568 42816 45032 46384 67548 69576 83136 90064 92768 96559 135096 139152 180128 185536 193118 270192 278304 289677 360256 386236 540384 556608 579354 772472 1080768 1158708 1255267 1544944 2317416 2510534 3089888 3765801 4634832 5021068 6179776 7531602 9269664 10042136 15063204 18539328 20084272 30126408 40168544 60252816 80337088 120505632 241011264