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230834670 = 2351117231789
BaseRepresentation
bin11011100001001…
…00000111101110
3121002100121122020
431300210013232
5433043202140
634523331010
75502030243
oct1560440756
9532317566
10230834670
11109333560
1265380a66
1338a92181
142292b5ca
15153ea6d0
hexdc241ee

230834670 has 128 divisors (see below), whose sum is σ = 668113920. Its totient is φ = 50350080.

The previous prime is 230834657. The next prime is 230834671. The reversal of 230834670 is 76438032.

230834670 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230834671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128136 + ... + 129924.

It is an arithmetic number, because the mean of its divisors is an integer number (5219640).

Almost surely, 2230834670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230834670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334056960).

230834670 is an abundant number, since it is smaller than the sum of its proper divisors (437279250).

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

230834670 is a wasteful number, since it uses less digits than its factorization.

230834670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 230834670 is about 15193.2442223509. The cubic root of 230834670 is about 613.4328265529.

The spelling of 230834670 in words is "two hundred thirty million, eight hundred thirty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 23 30 33 34 46 51 55 66 69 85 102 110 115 138 165 170 187 230 253 255 330 345 374 391 506 510 561 690 759 782 935 1122 1173 1265 1518 1789 1870 1955 2346 2530 2805 3578 3795 3910 4301 5367 5610 5865 7590 8602 8945 10734 11730 12903 17890 19679 21505 25806 26835 30413 39358 41147 43010 53670 59037 60826 64515 82294 91239 98395 118074 123441 129030 152065 182478 196790 205735 246882 295185 304130 334543 411470 452617 456195 590370 617205 669086 699499 905234 912390 1003629 1234410 1357851 1398998 1672715 2007258 2098497 2263085 2715702 3345430 3497495 4196994 4526170 5018145 6789255 6994990 7694489 10036290 10492485 13578510 15388978 20984970 23083467 38472445 46166934 76944890 115417335 230834670