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241634340 = 2236516573
BaseRepresentation
bin11100110011100…
…00110000100100
3121211200022000000
432121300300210
5443324244330
635551021300
75662600203
oct1631606044
9554608000
10241634340
1111443a502
1268b0a830
133b0a39cc
142413d23a
1516330560
hexe670c24

241634340 has 84 divisors (see below), whose sum is σ = 760846044. Its totient is φ = 64431936.

The previous prime is 241634339. The next prime is 241634353. The reversal of 241634340 is 43436142.

241634340 is a `hidden beast` number, since 24 + 1 + 634 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126157824 + 115476516 = 11232^2 + 10746^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6294 + ... + 22866.

It is an arithmetic number, because the mean of its divisors is an integer number (9057691).

Almost surely, 2241634340 is an apocalyptic number.

241634340 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 241634340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380423022).

241634340 is an abundant number, since it is smaller than the sum of its proper divisors (519211704).

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

241634340 is a wasteful number, since it uses less digits than its factorization.

241634340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16600 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 241634340 is about 15544.5919856392. The cubic root of 241634340 is about 622.8539430038.

The spelling of 241634340 in words is "two hundred forty-one million, six hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 16573 33146 49719 66292 82865 99438 149157 165730 198876 248595 298314 331460 447471 497190 596628 745785 894942 994380 1342413 1491570 1789884 2237355 2684826 2983140 4027239 4474710 5369652 6712065 8054478 8949420 12081717 13424130 16108956 20136195 24163434 26848260 40272390 48326868 60408585 80544780 120817170 241634340