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2334430112 = 25783241521
BaseRepresentation
bin1000101100100100…
…1001001110100000
320000200122100002112
42023021021032200
514240103230422
61023350534452
7111564220460
oct21311111640
96020570075
102334430112
11a987a7993
12551967428
132b283b6c1
14182071ba0
15d9e22ee2
hex8b2493a0

2334430112 has 96 divisors (see below), whose sum is σ = 5348052864. Its totient is φ = 982425600.

The previous prime is 2334430099. The next prime is 2334430121. The reversal of 2334430112 is 2110344332.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4480412 + ... + 4480932.

It is an arithmetic number, because the mean of its divisors is an integer number (55708884).

Almost surely, 22334430112 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 2334430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674026432).

2334430112 is an abundant number, since it is smaller than the sum of its proper divisors (3013622752).

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

2334430112 is a wasteful number, since it uses less digits than its factorization.

2334430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2334430112 is about 48315.9405579566. The cubic root of 2334430112 is about 1326.5601865108.

Adding to 2334430112 its reverse (2110344332), we get a palindrome (4444774444).

The spelling of 2334430112 in words is "two billion, three hundred thirty-four million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 241 332 482 521 581 664 964 1042 1162 1328 1687 1928 2084 2324 2656 3374 3647 3856 4168 4648 6748 7294 7712 8336 9296 13496 14588 16672 18592 20003 26992 29176 40006 43243 53984 58352 80012 86486 116704 125561 140021 160024 172972 251122 280042 302701 320048 345944 502244 560084 605402 640096 691888 878927 1004488 1120168 1210804 1383776 1757854 2008976 2240336 2421608 3515708 4017952 4480672 4843216 7031416 9686432 10421563 14062832 20843126 28125664 41686252 72950941 83372504 145901882 166745008 291803764 333490016 583607528 1167215056 2334430112