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234395140 = 22577123581
BaseRepresentation
bin11011111100010…
…01011000000100
3121100001111200111
431332021120010
5440001121030
635131522404
75544216520
oct1576113004
9540044614
10234395140
111103455a1
12665b9404
133973a965
14231b6d80
15158a062a
hexdf89604

234395140 has 48 divisors (see below), whose sum is σ = 570495744. Its totient is φ = 79228800.

The previous prime is 234395129. The next prime is 234395149. The reversal of 234395140 is 41593432.

It is not an unprimeable number, because it can be changed into a prime (234395149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1851 + ... + 21730.

It is an arithmetic number, because the mean of its divisors is an integer number (11885328).

Almost surely, 2234395140 is an apocalyptic number.

234395140 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 234395140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285247872).

234395140 is an abundant number, since it is smaller than the sum of its proper divisors (336100604).

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

234395140 is a wasteful number, since it uses less digits than its factorization.

234395140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23668 (or 23666 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 234395140 is about 15309.9686479104. The cubic root of 234395140 is about 616.5706783474.

The spelling of 234395140 in words is "two hundred thirty-four million, three hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 23581 47162 94324 117905 165067 235810 330134 471620 660268 825335 1650670 1674251 3301340 3348502 6697004 8371255 11719757 16742510 23439514 33485020 46879028 58598785 117197570 234395140