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241630380 = 2232510113291
BaseRepresentation
bin11100110011011…
…11110010101100
3121211200002120100
432121233302230
5443324133010
635550551100
75662552515
oct1631576254
9554602510
10241630380
11114437532
1268b08490
133b0a1c74
142413ba0c
151632e2c0
hexe66fcac

241630380 has 72 divisors (see below), whose sum is σ = 740258064. Its totient is φ = 63792000.

The previous prime is 241630357. The next prime is 241630393. The reversal of 241630380 is 83036142.

It is a happy number.

241630380 is a `hidden beast` number, since 24 + 1 + 630 + 3 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11535 + ... + 24825.

It is an arithmetic number, because the mean of its divisors is an integer number (10281362).

Almost surely, 2241630380 is an apocalyptic number.

241630380 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 241630380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370129032).

241630380 is an abundant number, since it is smaller than the sum of its proper divisors (498627684).

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

241630380 is a wasteful number, since it uses less digits than its factorization.

241630380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13407 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 241630380 is about 15544.4646096287. The cubic root of 241630380 is about 622.8505404589.

The spelling of 241630380 in words is "two hundred forty-one million, six hundred thirty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 13291 18180 26582 39873 53164 66455 79746 119619 132910 159492 199365 239238 265820 398730 478476 598095 797460 1196190 1342391 2392380 2684782 4027173 5369564 6711955 8054346 12081519 13423910 16108692 20135865 24163038 26847820 40271730 48326076 60407595 80543460 120815190 241630380