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234201330 = 2325111811307
BaseRepresentation
bin11011111010110…
…10000011110010
3121022200122211100
431331122003302
5434423420310
635123425230
75542451466
oct1575320362
9538618740
10234201330
11110222a20
1266525216
13396a068c
14231664a6
1515862ec0
hexdf5a0f2

234201330 has 96 divisors (see below), whose sum is σ = 668461248. Its totient is φ = 56419200.

The previous prime is 234201313. The next prime is 234201337. The reversal of 234201330 is 33102432.

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

It is not an unprimeable number, because it can be changed into a prime (234201337) 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, 178537 + ... + 179843.

It is an arithmetic number, because the mean of its divisors is an integer number (6963138).

Almost surely, 2234201330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334230624).

234201330 is an abundant number, since it is smaller than the sum of its proper divisors (434259918).

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

234201330 is a wasteful number, since it uses less digits than its factorization.

234201330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 234201330 is about 15303.6378028232. The cubic root of 234201330 is about 616.4006940012.

Adding to 234201330 its reverse (33102432), we get a palindrome (267303762).

The spelling of 234201330 in words is "two hundred thirty-four million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 181 198 330 362 495 543 905 990 1086 1307 1629 1810 1991 2614 2715 3258 3921 3982 5430 5973 6535 7842 8145 9955 11763 11946 13070 14377 16290 17919 19605 19910 23526 28754 29865 35838 39210 43131 58815 59730 71885 86262 89595 117630 129393 143770 179190 215655 236567 258786 431310 473134 646965 709701 1182835 1293930 1419402 2129103 2365670 2602237 3548505 4258206 5204474 7097010 7806711 10645515 13011185 15613422 21291030 23420133 26022370 39033555 46840266 78067110 117100665 234201330