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234697680 = 24325746567
BaseRepresentation
bin11011111110100…
…11001111010000
3121100121212200200
431333103033100
5440040311210
635142215200
75546616540
oct1577231720
9540555620
10234697680
11110531928
1266724500
1339815589
1423255320
15159100c0
hexdfd33d0

234697680 has 120 divisors (see below), whose sum is σ = 900811392. Its totient is φ = 53644032.

The previous prime is 234697679. The next prime is 234697711. The reversal of 234697680 is 86796432.

234697680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18244 + ... + 28323.

Almost surely, 2234697680 is an apocalyptic number.

234697680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234697680 is an abundant number, since it is smaller than the sum of its proper divisors (666113712).

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

234697680 is a wasteful number, since it uses less digits than its factorization.

234697680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46593 (or 46584 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 234697680 is about 15319.8459522281. The cubic root of 234697680 is about 616.8358389850.

The spelling of 234697680 in words is "two hundred thirty-four million, six hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 46567 93134 139701 186268 232835 279402 325969 372536 419103 465670 558804 651938 698505 745072 838206 931340 977907 1117608 1303876 1397010 1629845 1676412 1862680 1955814 2095515 2235216 2607752 2794020 2933721 3259690 3352824 3725360 3911628 4191030 4889535 5215504 5588040 5867442 6519380 6705648 7823256 8382060 9779070 11176080 11734884 13038760 14668605 15646512 16764120 19558140 23469768 26077520 29337210 33528240 39116280 46939536 58674420 78232560 117348840 234697680