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241353640 = 235111015431
BaseRepresentation
bin11100110001011…
…00001110101000
3121211011000221201
432120230032220
5443241304030
635541013544
75660320633
oct1630541650
9554130851
10241353640
11114268620
12689b42b4
133b006008
14240a8c1a
15162c72ca
hexe62c3a8

241353640 has 64 divisors (see below), whose sum is σ = 598389120. Its totient is φ = 86880000.

The previous prime is 241353613. The next prime is 241353647. The reversal of 241353640 is 46353142.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 241353599 and 241353608.

It is not an unprimeable number, because it can be changed into a prime (241353647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41725 + ... + 47155.

It is an arithmetic number, because the mean of its divisors is an integer number (9349830).

Almost surely, 2241353640 is an apocalyptic number.

241353640 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 241353640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299194560).

241353640 is an abundant number, since it is smaller than the sum of its proper divisors (357035480).

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

241353640 is a wasteful number, since it uses less digits than its factorization.

241353640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 241353640 is about 15535.5604984178. The cubic root of 241353640 is about 622.6126654245.

The spelling of 241353640 in words is "two hundred forty-one million, three hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5431 5555 8888 10862 11110 21724 22220 27155 43448 44440 54310 59741 108620 119482 217240 238964 298705 477928 548531 597410 1097062 1194820 2194124 2389640 2742655 4388248 5485310 6033841 10970620 12067682 21941240 24135364 30169205 48270728 60338410 120676820 241353640