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234675280 = 2457619677
BaseRepresentation
bin11011111110011…
…01110001010000
3121100120201222001
431333031301100
5440034102110
635141523344
75546464330
oct1577156120
9540521861
10234675280
11110517014
1266713554
1339808318
142324b0c0
151590863a
hexdfcdc50

234675280 has 80 divisors (see below), whose sum is σ = 625495680. Its totient is φ = 80211456.

The previous prime is 234675271. The next prime is 234675281. The reversal of 234675280 is 82576432.

234675280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

234675280 is a nontrivial binomial coefficient, being equal to C(21665, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234675281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346302 + ... + 346978.

It is an arithmetic number, because the mean of its divisors is an integer number (7818696).

Almost surely, 2234675280 is an apocalyptic number.

234675280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

234675280 is the 21664-th triangular number.

234675280 is the 7222-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234675280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312747840).

234675280 is an abundant number, since it is smaller than the sum of its proper divisors (390820400).

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

234675280 is a wasteful number, since it uses less digits than its factorization.

234675280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 234675280 is about 15319.1148569361. The cubic root of 234675280 is about 616.8162143593.

It can be divided in two parts, 234675 and 280, that added together give a triangular number (234955 = T685).

The spelling of 234675280 in words is "two hundred thirty-four million, six hundred seventy-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 619 677 1238 1354 2476 2708 3095 3385 4333 4739 4952 5416 6190 6770 8666 9478 9904 10832 12380 13540 17332 18956 21665 23695 24760 27080 34664 37912 43330 47390 49520 54160 69328 75824 86660 94780 173320 189560 346640 379120 419063 838126 1676252 2095315 2933441 3352504 4190630 5866882 6705008 8381260 11733764 14667205 16762520 23467528 29334410 33525040 46935056 58668820 117337640 234675280