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2306669904 = 24327211113263
BaseRepresentation
bin1000100101111100…
…1111110101010000
312221202101222020200
42021133033311100
514211001414104
61020515535200
7111106241100
oct21137176520
95852358220
102306669904
11a84067270
125445ba500
132a9b6c046
1417c4c7200
15d778cb39
hex897cfd50

2306669904 has 360 divisors, whose sum is σ = 8296022592. Its totient is φ = 591575040.

The previous prime is 2306669879. The next prime is 2306669933. The reversal of 2306669904 is 4099666032.

It is a self number, because there is not a number n which added to its sum of digits gives 2306669904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8770477 + ... + 8770739.

Almost surely, 22306669904 is an apocalyptic number.

2306669904 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 2306669904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148011296).

2306669904 is an abundant number, since it is smaller than the sum of its proper divisors (5989352688).

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

2306669904 is a wasteful number, since it uses less digits than its factorization.

2306669904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 2306669904 is about 48027.8034475865. The cubic root of 2306669904 is about 1321.2808778948.

The spelling of 2306669904 in words is "two billion, three hundred six million, six hundred sixty-nine thousand, nine hundred four".