Search a number
-
+
234301705824 = 25323106114903
BaseRepresentation
bin1101101000110101111…
…0000100111001100000
3211101202212222212220110
43122031132010321200
512314322214041244
6255345310411320
722633133432154
oct3321536047140
9741685885813
10234301705824
119040422850a
12394ab200b40
131912c980024
14b4a9979064
156164a6c9b9
hex368d784e60

234301705824 has 48 divisors (see below), whose sum is σ = 641782939392. Its totient is φ = 74704891008.

The previous prime is 234301705751. The next prime is 234301705853. The reversal of 234301705824 is 428507103432.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53055244 + ... + 53059659.

It is an arithmetic number, because the mean of its divisors is an integer number (13370477904).

Almost surely, 2234301705824 is an apocalyptic number.

234301705824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234301705824 is an abundant number, since it is smaller than the sum of its proper divisors (407481233568).

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

234301705824 is a wasteful number, since it uses less digits than its factorization.

234301705824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106114939 (or 106114931 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 234301705824 in words is "two hundred thirty-four billion, three hundred one million, seven hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 106114903 212229806 318344709 424459612 636689418 848919224 1273378836 1697838448 2440642769 2546757672 3395676896 4881285538 5093515344 7321928307 9762571076 10187030688 14643856614 19525142152 29287713228 39050284304 58575426456 78100568608 117150852912 234301705824