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241410944 = 2723431907
BaseRepresentation
bin11100110001110…
…10001110000000
3121211020221120002
432120322032000
5443300122234
635542135132
75660646665
oct1630721600
9554227502
10241410944
111142a7685
1268a214a8
133b026118
14240c1a6c
15162d927e
hexe63a380

241410944 has 64 divisors (see below), whose sum is σ = 513786240. Its totient is φ = 112713216.

The previous prime is 241410937. The next prime is 241410989. The reversal of 241410944 is 449014142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2414109442 = 116558487765942272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125639 + ... + 127545.

It is an arithmetic number, because the mean of its divisors is an integer number (8027910).

Almost surely, 2241410944 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 241410944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256893120).

241410944 is an abundant number, since it is smaller than the sum of its proper divisors (272375296).

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

241410944 is a wasteful number, since it uses less digits than its factorization.

241410944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 241410944 is about 15537.4046738830. The cubic root of 241410944 is about 622.6619366556.

The spelling of 241410944 in words is "two hundred forty-one million, four hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 128 172 184 344 368 688 736 989 1376 1472 1907 1978 2752 2944 3814 3956 5504 7628 7912 15256 15824 30512 31648 43861 61024 63296 82001 87722 122048 126592 164002 175444 244096 328004 350888 656008 701776 1312016 1403552 1886023 2624032 2807104 3772046 5248064 5614208 7544092 10496128 15088184 30176368 60352736 120705472 241410944