Search a number
-
+
4623234264 = 23321115737181
BaseRepresentation
bin1000100111001000…
…01111010011011000
3102221012102122010200
410103210033103120
533432021444024
62042431542200
7222365562045
oct42344172330
912835378120
104623234264
111a62771370
12a9038a960
13588a9389c
1431c0281cc
151c0d322c9
hex11390f4d8

4623234264 has 96 divisors (see below), whose sum is σ = 13746929040. Its totient is φ = 1392019200.

The previous prime is 4623234257. The next prime is 4623234307. The reversal of 4623234264 is 4624323264.

4623234264 is a `hidden beast` number, since 4 + 623 + 2 + 3 + 4 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105754 + ... + 142934.

Almost surely, 24623234264 is an apocalyptic number.

4623234264 is a gapful number since it is divisible by the number (44) 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 4623234264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873464520).

4623234264 is an abundant number, since it is smaller than the sum of its proper divisors (9123694776).

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

4623234264 is a wasteful number, since it uses less digits than its factorization.

4623234264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37361 (or 37354 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 4623234264 is about 67994.3693551165. The cubic root of 4623234264 is about 1665.8988691376.

The spelling of 4623234264 in words is "four billion, six hundred twenty-three million, two hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 157 198 264 314 396 471 628 792 942 1256 1413 1727 1884 2826 3454 3768 5181 5652 6908 10362 11304 13816 15543 20724 31086 37181 41448 62172 74362 111543 124344 148724 223086 297448 334629 408991 446172 669258 817982 892344 1226973 1338516 1635964 2453946 2677032 3271928 3680919 4907892 5837417 7361838 9815784 11674834 14723676 17512251 23349668 29447352 35024502 46699336 52536753 64211587 70049004 105073506 128423174 140098008 192634761 210147012 256846348 385269522 420294024 513692696 577904283 770539044 1155808566 1541078088 2311617132 4623234264