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2334316992 = 26373175479
BaseRepresentation
bin1000101100100010…
…1101100111000000
320000200102120220220
42023020231213000
514240041120432
61023344303040
7111563236620
oct21310554700
96020376826
102334316992
11a9872a9a7
12551911a80
132b27cc077
14182042880
15d9dee72c
hex8b22d9c0

2334316992 has 112 divisors (see below), whose sum is σ = 7082088960. Its totient is φ = 664722432.

The previous prime is 2334316973. The next prime is 2334317021. The reversal of 2334316992 is 2996134332.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 423309 + ... + 428787.

Almost surely, 22334316992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541044480).

2334316992 is an abundant number, since it is smaller than the sum of its proper divisors (4747771968).

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

2334316992 is a wasteful number, since it uses less digits than its factorization.

2334316992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5808 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The square root of 2334316992 is about 48314.7699156273. The cubic root of 2334316992 is about 1326.5387590238.

The spelling of 2334316992 in words is "two billion, three hundred thirty-four million, three hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 317 336 448 634 672 951 1268 1344 1902 2219 2536 3804 4438 5072 5479 6657 7608 8876 10144 10958 13314 15216 16437 17752 20288 21916 26628 30432 32874 35504 38353 43832 53256 60864 65748 71008 76706 87664 106512 115059 131496 142016 153412 175328 213024 230118 262992 306824 350656 426048 460236 525984 613648 920472 1051968 1227296 1736843 1840944 2454592 3473686 3681888 5210529 6947372 7363776 10421058 12157901 13894744 20842116 24315802 27789488 36473703 41684232 48631604 55578976 72947406 83368464 97263208 111157952 145894812 166736928 194526416 291789624 333473856 389052832 583579248 778105664 1167158496 2334316992