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230587434 = 232721123767
BaseRepresentation
bin11011011111001…
…11110000101010
3121001220001111100
431233213300222
5433012244214
634514142230
75466650400
oct1557476052
9531801440
10230587434
11109184830
1265281976
1338a0678c
14228a5470
151539c309
hexdbe7c2a

230587434 has 72 divisors (see below), whose sum is σ = 634035168. Its totient is φ = 59890320.

The previous prime is 230587387. The next prime is 230587447. The reversal of 230587434 is 434785032.

It is a happy number.

230587434 is a `hidden beast` number, since 2 + 30 + 587 + 43 + 4 = 666.

It is an alternating number because its digits alternate between even and odd.

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 35 ways as a sum of consecutive naturals, for example, 2182 + ... + 21585.

It is an arithmetic number, because the mean of its divisors is an integer number (8806044).

Almost surely, 2230587434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230587434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317017584).

230587434 is an abundant number, since it is smaller than the sum of its proper divisors (403447734).

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

230587434 is a wasteful number, since it uses less digits than its factorization.

230587434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23800 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 230587434 is about 15185.1056631161. The cubic root of 230587434 is about 613.2137421077.

The spelling of 230587434 in words is "two hundred thirty million, five hundred eighty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 23767 47534 71301 142602 166369 213903 261437 332738 427806 499107 522874 784311 998214 1164583 1497321 1568622 1830059 2329166 2352933 2994642 3493749 3660118 4705866 5490177 6987498 10481247 10980354 12810413 16470531 20962494 25620826 32941062 38431239 76862478 115293717 230587434