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241130430 = 232541101647
BaseRepresentation
bin11100101111101…
…01101110111110
3121210201200202200
432113311232332
5443212133210
635532132330
75655401112
oct1627655676
9553650680
10241130430
11114125952
12689070a6
133ac58538
142404b742
15162810c0
hexe5f5bbe

241130430 has 96 divisors (see below), whose sum is σ = 649591488. Its totient is φ = 62016000.

The previous prime is 241130423. The next prime is 241130437. The reversal of 241130430 is 34031142.

It is an interprime number because it is at equal distance from previous prime (241130423) and next prime (241130437).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241130437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372367 + ... + 373013.

It is an arithmetic number, because the mean of its divisors is an integer number (6766578).

Almost surely, 2241130430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241130430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324795744).

241130430 is an abundant number, since it is smaller than the sum of its proper divisors (408461058).

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

241130430 is a wasteful number, since it uses less digits than its factorization.

241130430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 241130430 is about 15528.3749954720. The cubic root of 241130430 is about 622.4206702025.

Adding to 241130430 its reverse (34031142), we get a palindrome (275161572).

The spelling of 241130430 in words is "two hundred forty-one million, one hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 101 123 202 205 246 303 369 410 505 606 615 647 738 909 1010 1230 1294 1515 1818 1845 1941 3030 3235 3690 3882 4141 4545 5823 6470 8282 9090 9705 11646 12423 19410 20705 24846 26527 29115 37269 41410 53054 58230 62115 65347 74538 79581 124230 130694 132635 159162 186345 196041 238743 265270 326735 372690 392082 397905 477486 588123 653470 795810 980205 1176246 1193715 1960410 2387430 2679227 2940615 5358454 5881230 8037681 13396135 16075362 24113043 26792270 40188405 48226086 80376810 120565215 241130430