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2010494304 = 253372132281
BaseRepresentation
bin111011111010101…
…1011010101100000
312012010002200201000
41313311123111200
513104141304204
6531255512000
7100551630300
oct16765332540
95163080630
102010494304
11941965145
12481388600
132606acc00
1415102b600
15bb787039
hex77d5b560

2010494304 has 432 divisors, whose sum is σ = 7412685840. Its totient is φ = 528353280.

The previous prime is 2010494257. The next prime is 2010494357. The reversal of 2010494304 is 4034940102.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7154644 + ... + 7154924.

It is an arithmetic number, because the mean of its divisors is an integer number (17158995).

Almost surely, 22010494304 is an apocalyptic number.

2010494304 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 2010494304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706342920).

2010494304 is an abundant number, since it is smaller than the sum of its proper divisors (5402191536).

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

2010494304 is a wasteful number, since it uses less digits than its factorization.

2010494304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2010494304 is about 44838.5359261428. The cubic root of 2010494304 is about 1262.1208725206.

The spelling of 2010494304 in words is "two billion, ten million, four hundred ninety-four thousand, three hundred four".