Search a number
-
+
234818960 = 24517237507
BaseRepresentation
bin11011111111100…
…00110110010000
3121100212001001112
431333300312100
5440103201320
635144552452
75550633245
oct1577606620
9540761045
10234818960
11110604a62
1266782728
133985883c
14232875cc
1515935ec5
hexdff0d90

234818960 has 80 divisors (see below), whose sum is σ = 603282816. Its totient is φ = 84547584.

The previous prime is 234818957. The next prime is 234818971. The reversal of 234818960 is 69818432.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27527 + ... + 35033.

Almost surely, 2234818960 is an apocalyptic number.

234818960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

234818960 is the 12512-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234818960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301641408).

234818960 is an abundant number, since it is smaller than the sum of its proper divisors (368463856).

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

234818960 is a wasteful number, since it uses less digits than its factorization.

234818960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 234818960 is about 15323.8037053468. The cubic root of 234818960 is about 616.9420706391.

The spelling of 234818960 in words is "two hundred thirty-four million, eight hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7507 7820 15014 15640 30028 31280 37535 60056 75070 120112 127619 150140 172661 255238 300280 345322 510476 600560 638095 690644 863305 1020952 1276190 1381288 1726610 2041904 2552380 2762576 2935237 3453220 5104760 5870474 6906440 10209520 11740948 13812880 14676185 23481896 29352370 46963792 58704740 117409480 234818960