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3299376900 = 2235222748449
BaseRepresentation
bin1100010010101000…
…0111111100000100
322111221100201020110
43010222013330010
523224120030100
61303221033020
7144522145431
oct30452077404
98457321213
103299376900
111443459776
12780b55770
13407724831
14234296b88
151449cd250
hexc4a87f04

3299376900 has 72 divisors (see below), whose sum is σ = 9588448800. Its totient is φ = 875939840.

The previous prime is 3299376889. The next prime is 3299376901. The reversal of 3299376900 is 96739923.

It is a super-2 number, since 2×32993769002 = 21771775856507220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3299376900.

It is not an unprimeable number, because it can be changed into a prime (3299376901) 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, 43876 + ... + 92324.

It is an arithmetic number, because the mean of its divisors is an integer number (133172900).

Almost surely, 23299376900 is an apocalyptic number.

3299376900 is a gapful number since it is divisible by the number (30) 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 3299376900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794224400).

3299376900 is an abundant number, since it is smaller than the sum of its proper divisors (6289071900).

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

3299376900 is a wasteful number, since it uses less digits than its factorization.

3299376900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48693 (or 48686 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 48.

The square root of 3299376900 is about 57440.2028199762. The cubic root of 3299376900 is about 1488.7118425363.

The spelling of 3299376900 in words is "three billion, two hundred ninety-nine million, three hundred seventy-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 227 300 454 681 908 1135 1362 2270 2724 3405 4540 5675 6810 11350 13620 17025 22700 34050 48449 68100 96898 145347 193796 242245 290694 484490 581388 726735 968980 1211225 1453470 2422450 2906940 3633675 4844900 7267350 10997923 14534700 21995846 32993769 43991692 54989615 65987538 109979230 131975076 164968845 219958460 274948075 329937690 549896150 659875380 824844225 1099792300 1649688450 3299376900