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2004370344 = 2332197320071
BaseRepresentation
bin111011101111000…
…0100001110101000
312011200120120012200
41313132010032220
513101104322334
6530520340200
7100445603214
oct16736041650
95150516180
102004370344
11939462119
1247b314660
1325c347672
141502b5944
15bae77799
hex777843a8

2004370344 has 96 divisors (see below), whose sum is σ = 5792779200. Its totient is φ = 624257280.

The previous prime is 2004370343. The next prime is 2004370429. The reversal of 2004370344 is 4430734002.

2004370344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2004370343) 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, 89829 + ... + 109899.

It is an arithmetic number, because the mean of its divisors is an integer number (60341450).

Almost surely, 22004370344 is an apocalyptic number.

2004370344 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 2004370344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896389600).

2004370344 is an abundant number, since it is smaller than the sum of its proper divisors (3788408856).

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

2004370344 is a wasteful number, since it uses less digits than its factorization.

2004370344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20175 (or 20168 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2004370344 is about 44770.1948175346. The cubic root of 2004370344 is about 1260.8380969838.

The spelling of 2004370344 in words is "two billion, four million, three hundred seventy thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 73 76 114 146 152 171 219 228 292 342 438 456 584 657 684 876 1314 1368 1387 1752 2628 2774 4161 5256 5548 8322 11096 12483 16644 20071 24966 33288 40142 49932 60213 80284 99864 120426 160568 180639 240852 361278 381349 481704 722556 762698 1144047 1445112 1465183 1525396 2288094 2930366 3050792 3432141 4395549 4576188 5860732 6864282 8791098 9152376 11721464 13186647 13728564 17582196 26373294 27457128 27838477 35164392 52746588 55676954 83515431 105493176 111353908 167030862 222707816 250546293 334061724 501092586 668123448 1002185172 2004370344