Search a number
-
+
2334330072 = 2332233347401
BaseRepresentation
bin1000101100100011…
…0000110011011000
320000200110020212100
42023020300303120
514240042030242
61023344443400
7111563323014
oct21310606330
96020406770
102334330072
11a98739808
12551919560
132b2804cc9
14182047544
15d9e0354c
hex8b230cd8

2334330072 has 96 divisors (see below), whose sum is σ = 6383454480. Its totient is φ = 770611200.

The previous prime is 2334329983. The next prime is 2334330073. The reversal of 2334330072 is 2700334332.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334330073) 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 23 ways as a sum of consecutive naturals, for example, 5821072 + ... + 5821472.

Almost surely, 22334330072 is an apocalyptic number.

It is an amenable number.

2334330072 is an abundant number, since it is smaller than the sum of its proper divisors (4049124408).

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

2334330072 is a wasteful number, since it uses less digits than its factorization.

2334330072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 2334330072 is about 48314.9052777712. The cubic root of 2334330072 is about 1326.5412367071.

The spelling of 2334330072 in words is "two billion, three hundred thirty-four million, three hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 233 347 401 466 694 699 802 932 1041 1203 1388 1398 1604 1864 2082 2097 2406 2776 2796 3123 3208 3609 4164 4194 4812 5592 6246 7218 8328 8388 9624 12492 14436 16776 24984 28872 80851 93433 139147 161702 186866 242553 278294 280299 323404 373732 417441 485106 556588 560598 646808 727659 747464 834882 840897 970212 1113176 1121196 1252323 1455318 1669764 1681794 1940424 2242392 2504646 2910636 3339528 3363588 5009292 5821272 6727176 10018584 32421251 64842502 97263753 129685004 194527506 259370008 291791259 389055012 583582518 778110024 1167165036 2334330072