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230034330 = 23451914947
BaseRepresentation
bin11011011011000…
…00101110011010
3121000211221210000
431231200232122
5432342044310
634454233430
75462155011
oct1555405632
9530757700
10230034330
11108937219
1265055876
1338871ab6
142279da78
15152dd4c0
hexdb60b9a

230034330 has 80 divisors (see below), whose sum is σ = 651134880. Its totient is φ = 58110048.

The previous prime is 230034323. The next prime is 230034347. The reversal of 230034330 is 33430032.

230034330 is a `hidden beast` number, since 2 + 300 + 34 + 330 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7917 + ... + 22863.

It is an arithmetic number, because the mean of its divisors is an integer number (8139186).

Almost surely, 2230034330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230034330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325567440).

230034330 is an abundant number, since it is smaller than the sum of its proper divisors (421100550).

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

230034330 is a wasteful number, since it uses less digits than its factorization.

230034330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14985 (or 14976 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 230034330 is about 15166.8826724545. The cubic root of 230034330 is about 612.7230496814.

Adding to 230034330 its reverse (33430032), we get a palindrome (263464362).

The spelling of 230034330 in words is "two hundred thirty million, thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 14947 15390 29894 44841 74735 89682 134523 149470 224205 269046 283993 403569 448410 567986 672615 807138 851979 1210707 1345230 1419965 1703958 2017845 2421414 2555937 2839930 4035690 4259895 5111874 6053535 7667811 8519790 12107070 12779685 15335622 23003433 25559370 38339055 46006866 76678110 115017165 230034330