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234830580 = 223531251503
BaseRepresentation
bin11011111111100…
…11101011110100
3121100212121222220
431333303223310
5440104034310
635145122340
75551012155
oct1577635364
9540777886
10234830580
11110612766
12667893b0
1339860c0a
142328b92c
1515939670
hexdff3af4

234830580 has 96 divisors (see below), whose sum is σ = 682795008. Its totient is φ = 60240000.

The previous prime is 234830543. The next prime is 234830587. The reversal of 234830580 is 85038432.

It is a super-3 number, since 3×2348305803 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234830587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466609 + ... + 467111.

It is an arithmetic number, because the mean of its divisors is an integer number (7112448).

Almost surely, 2234830580 is an apocalyptic number.

234830580 is a gapful number since it is divisible by the number (20) 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 234830580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341397504).

234830580 is an abundant number, since it is smaller than the sum of its proper divisors (447964428).

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

234830580 is a wasteful number, since it uses less digits than its factorization.

234830580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 234830580 is about 15324.1828493398. The cubic root of 234830580 is about 616.9522469165.

The spelling of 234830580 in words is "two hundred thirty-four million, eight hundred thirty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 251 310 372 465 502 503 620 753 930 1004 1006 1255 1506 1509 1860 2012 2510 2515 3012 3018 3765 5020 5030 6036 7530 7545 7781 10060 15060 15090 15562 15593 23343 30180 31124 31186 38905 46686 46779 62372 77810 77965 93372 93558 116715 126253 155620 155930 187116 233430 233895 252506 311860 378759 466860 467790 505012 631265 757518 935580 1262530 1515036 1893795 2525060 3787590 3913843 7575180 7827686 11741529 15655372 19569215 23483058 39138430 46966116 58707645 78276860 117415290 234830580