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234281680 = 24523157811
BaseRepresentation
bin11011111011011…
…01101011010000
3121022211202001021
431331231223100
5434434003210
635125245224
75543234653
oct1575555320
9538752037
10234281680
11110278326
1266563814
13396cb119
142318789a
151587bbda
hexdf6dad0

234281680 has 80 divisors (see below), whose sum is σ = 572713344. Its totient is φ = 88957440.

The previous prime is 234281651. The next prime is 234281701. The reversal of 234281680 is 86182432.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 288475 + ... + 289285.

Almost surely, 2234281680 is an apocalyptic number.

234281680 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 234281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286356672).

234281680 is an abundant number, since it is smaller than the sum of its proper divisors (338431664).

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

234281680 is a wasteful number, since it uses less digits than its factorization.

234281680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 234281680 is about 15306.2627705133. The cubic root of 234281680 is about 616.4711777069.

The spelling of 234281680 in words is "two hundred thirty-four million, two hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 157 184 230 314 368 460 628 785 811 920 1256 1570 1622 1840 2512 3140 3244 3611 4055 6280 6488 7222 8110 12560 12976 14444 16220 18055 18653 28888 32440 36110 37306 57776 64880 72220 74612 93265 127327 144440 149224 186530 254654 288880 298448 373060 509308 636635 746120 1018616 1273270 1492240 2037232 2546540 2928521 5093080 5857042 10186160 11714084 14642605 23428168 29285210 46856336 58570420 117140840 234281680