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241232628 = 223713216993
BaseRepresentation
bin11100110000011…
…10101011110100
3121210220212221210
432120032223310
5443223421003
635534241420
75656305060
oct1630165364
9553825853
10241232628
1111419570a
1268956270
133ac92c00
1424076aa0
15162a1503
hexe60eaf4

241232628 has 72 divisors (see below), whose sum is σ = 696618048. Its totient is φ = 63618048.

The previous prime is 241232609. The next prime is 241232647. The reversal of 241232628 is 826232142.

It is an interprime number because it is at equal distance from previous prime (241232609) and next prime (241232647).

It is a junction number, because it is equal to n+sod(n) for n = 241232595 and 241232604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5700 + ... + 22692.

Almost surely, 2241232628 is an apocalyptic number.

241232628 is a gapful number since it is divisible by the number (28) 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 241232628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348309024).

241232628 is an abundant number, since it is smaller than the sum of its proper divisors (455385420).

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

241232628 is a wasteful number, since it uses less digits than its factorization.

241232628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17033 (or 17018 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 241232628 is about 15531.6653324748. The cubic root of 241232628 is about 622.5085910332.

It can be divided in two parts, 241232 and 628, that added together give a triangular number (241860 = T695).

The spelling of 241232628 in words is "two hundred forty-one million, two hundred thirty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 14196 16993 33986 50979 67972 101958 118951 203916 220909 237902 356853 441818 475804 662727 713706 883636 1325454 1427412 1546363 2650908 2871817 3092726 4639089 5743634 6185452 8615451 9278178 11487268 17230902 18556356 20102719 34461804 40205438 60308157 80410876 120616314 241232628