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2034040896 = 263419107193
BaseRepresentation
bin111100100111101…
…0000000001000000
312020202101222120000
41321033100001000
513131203302041
6533500320000
7101256030246
oct17117200100
95222358500
102034040896
11954188038
12489243000
132655356c4
141541da796
15bd888bb6
hex793d0040

2034040896 has 280 divisors, whose sum is σ = 6439387680. Its totient is φ = 633028608.

The previous prime is 2034040891. The next prime is 2034040901. The reversal of 2034040896 is 6980404302.

It is a happy number.

2034040896 is a `hidden beast` number, since 203 + 40 + 408 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2034040891) and next prime (2034040901).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2034040896.

It is not an unprimeable number, because it can be changed into a prime (2034040891) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10538976 + ... + 10539168.

Almost surely, 22034040896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219693840).

2034040896 is an abundant number, since it is smaller than the sum of its proper divisors (4405346784).

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

2034040896 is a wasteful number, since it uses less digits than its factorization.

2034040896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2034040896 is about 45100.3425264155. The cubic root of 2034040896 is about 1267.0290144641.

The spelling of 2034040896 in words is "two billion, thirty-four million, forty thousand, eight hundred ninety-six".