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234113640 = 233516311969
BaseRepresentation
bin11011111010001…
…00101001101000
3121022112012112120
431331010221220
5434413114030
635121511240
75541635025
oct1575045150
9538465476
10234113640
11110173052
12664a2520
133966c7a7
142314254c
1515847010
hexdf44a68

234113640 has 64 divisors (see below), whose sum is σ = 706708800. Its totient is φ = 62042112.

The previous prime is 234113639. The next prime is 234113653. The reversal of 234113640 is 46311432.

234113640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 234113640.

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, 13576 + ... + 25544.

It is an arithmetic number, because the mean of its divisors is an integer number (11042325).

Almost surely, 2234113640 is an apocalyptic number.

234113640 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 234113640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353354400).

234113640 is an abundant number, since it is smaller than the sum of its proper divisors (472595160).

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

234113640 is a wasteful number, since it uses less digits than its factorization.

234113640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12146 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 234113640 is about 15300.7725295163. The cubic root of 234113640 is about 616.3237531851.

The spelling of 234113640 in words is "two hundred thirty-four million, one hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 11969 19560 23938 35907 47876 59845 71814 95752 119690 143628 179535 239380 287256 359070 478760 718140 1436280 1950947 3901894 5852841 7803788 9754735 11705682 15607576 19509470 23411364 29264205 39018940 46822728 58528410 78037880 117056820 234113640