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241004664 = 233219315683
BaseRepresentation
bin11100101110101…
…11000001111000
3121210111022020200
432113113001320
5443144122124
635525322200
75654335335
oct1627270170
9553438220
10241004664
1111404a40a
1268866360
133ac13214
142401798c
1516258bc9
hexe5d7078

241004664 has 96 divisors (see below), whose sum is σ = 709363200. Its totient is φ = 73638720.

The previous prime is 241004657. The next prime is 241004671. The reversal of 241004664 is 466400142.

241004664 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 (241004657) and next prime (241004671).

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, 39567 + ... + 45249.

It is an arithmetic number, because the mean of its divisors is an integer number (7389200).

Almost surely, 2241004664 is an apocalyptic number.

241004664 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 241004664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354681600).

241004664 is an abundant number, since it is smaller than the sum of its proper divisors (468358536).

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

241004664 is a wasteful number, since it uses less digits than its factorization.

241004664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 241004664 is about 15524.3249128585. The cubic root of 241004664 is about 622.3124397435.

It can be divided in two parts, 2410046 and 64, that added together give a triangular number (2410110 = T2195).

The spelling of 241004664 in words is "two hundred forty-one million, four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 1116 1178 1368 1767 2232 2356 3534 4712 5301 5683 7068 10602 11366 14136 17049 21204 22732 34098 42408 45464 51147 68196 102294 107977 136392 176173 204588 215954 323931 352346 409176 431908 528519 647862 704692 863816 971793 1057038 1295724 1409384 1585557 1943586 2114076 2591448 3171114 3347287 3887172 4228152 6342228 6694574 7774344 10041861 12684456 13389148 20083722 26778296 30125583 40167444 60251166 80334888 120502332 241004664