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2396104704 = 2113273379
BaseRepresentation
bin1000111011010001…
…1010100000000000
320011222200201201200
42032310122200000
514401400322304
61033432501200
7113243361000
oct21664324000
96158621650
102396104704
11101a5a1a24
1256a54a800
132c2553946
1418a328000
15e0556e39
hex8ed1a800

2396104704 has 288 divisors, whose sum is σ = 8091720000. Its totient is φ = 682795008.

The previous prime is 2396104699. The next prime is 2396104721. The reversal of 2396104704 is 4074016932.

2396104704 is a `hidden beast` number, since 2 + 39 + 610 + 4 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6321987 + ... + 6322365.

It is an arithmetic number, because the mean of its divisors is an integer number (28096250).

Almost surely, 22396104704 is an apocalyptic number.

2396104704 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 2396104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045860000).

2396104704 is an abundant number, since it is smaller than the sum of its proper divisors (5695615296).

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

2396104704 is an equidigital number, since it uses as much as digits as its factorization.

2396104704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2396104704 is about 48950.0225127630. The cubic root of 2396104704 is about 1338.1411636271.

The spelling of 2396104704 in words is "two billion, three hundred ninety-six million, one hundred four thousand, seven hundred four".