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2104334000 = 24534324469
BaseRepresentation
bin111110101101101…
…1001011010110000
312102122200020120022
41331123121122300
513302202142000
6544451103012
7103101354356
oct17533313260
95378606508
102104334000
1198a92930a
124a88a1a68
13276c77762
1415d6977d6
15c4b21585
hex7d6d96b0

2104334000 has 80 divisors (see below), whose sum is σ = 5206824480. Its totient is φ = 822124800.

The previous prime is 2104333949. The next prime is 2104334021. The reversal of 2104334000 is 4334012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2104334000.

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, 73766 + ... + 98234.

It is an arithmetic number, because the mean of its divisors is an integer number (65085306).

Almost surely, 22104334000 is an apocalyptic number.

2104334000 is a gapful number since it is divisible by the number (20) 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 2104334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603412240).

2104334000 is an abundant number, since it is smaller than the sum of its proper divisors (3102490480).

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

2104334000 is a wasteful number, since it uses less digits than its factorization.

2104334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24535 (or 24519 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2104334000 is about 45873.0203932551. The cubic root of 2104334000 is about 1281.4595167977.

Adding to 2104334000 its reverse (4334012), we get a palindrome (2108668012).

The spelling of 2104334000 in words is "two billion, one hundred four million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 17200 21500 24469 43000 48938 86000 97876 122345 195752 244690 391504 489380 611725 978760 1052167 1223450 1957520 2104334 2446900 3058625 4208668 4893800 5260835 6117250 8417336 9787600 10521670 12234500 16834672 21043340 24469000 26304175 42086680 48938000 52608350 84173360 105216700 131520875 210433400 263041750 420866800 526083500 1052167000 2104334000