Search a number
-
+
2334663144 = 2332115355619
BaseRepresentation
bin1000101100101000…
…0010000111101000
320000201002011202100
42023022002013220
514240133210034
61023355533400
7111566211042
oct21312020750
96021064670
102334663144
11a98946a80
12551a5a260
132b28c07a8
141820d2a92
15d9e6c099
hex8b2821e8

2334663144 has 96 divisors (see below), whose sum is σ = 7028143200. Its totient is φ = 694112640.

The previous prime is 2334663143. The next prime is 2334663203. The reversal of 2334663144 is 4413664332.

2334663144 is a `hidden beast` number, since 2 + 334 + 6 + 6 + 314 + 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 junction number, because it is equal to n+sod(n) for n = 2334663099 and 2334663108.

It is not an unprimeable number, because it can be changed into a prime (2334663143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14167 + ... + 69785.

It is an arithmetic number, because the mean of its divisors is an integer number (73209825).

Almost surely, 22334663144 is an apocalyptic number.

2334663144 is a gapful number since it is divisible by the number (24) 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 2334663144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514071600).

2334663144 is an abundant number, since it is smaller than the sum of its proper divisors (4693480056).

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

2334663144 is a wasteful number, since it uses less digits than its factorization.

2334663144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55695 (or 55688 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 2334663144 is about 48318.3520414345. The cubic root of 2334663144 is about 1326.6043258614.

The spelling of 2334663144 in words is "two billion, three hundred thirty-four million, six hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 3498 3816 4664 5247 6996 10494 13992 20988 41976 55619 111238 166857 222476 333714 444952 500571 611809 667428 1001142 1223618 1334856 1835427 2002284 2447236 2947807 3670854 4004568 4894472 5506281 5895614 7341708 8843421 11012562 11791228 14683416 17686842 22025124 23582456 26530263 32425877 35373684 44050248 53060526 64851754 70747368 97277631 106121052 129703508 194555262 212242104 259407016 291832893 389110524 583665786 778221048 1167331572 2334663144