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8034012000 = 253353710627
BaseRepresentation
bin1110111101101110…
…10100101101100000
3202201220102002121000
413132313110231200
5112423201341000
63405112432000
7403042655340
oct73667245540
922656362530
108034012000
113452a99143
1216826a8600
139b05c1271
14562ddcd20
153204b8000
hex1dedd4b60

8034012000 has 384 divisors, whose sum is σ = 33424634880. Its totient is φ = 1836172800.

The previous prime is 8034011989. The next prime is 8034012011. The reversal of 8034012000 is 2104308.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8034011989) and next prime (8034012011).

It is a super-2 number, since 2×80340120002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 750687 + ... + 761313.

It is an arithmetic number, because the mean of its divisors is an integer number (87043320).

Almost surely, 28034012000 is an apocalyptic number.

8034012000 is a gapful number since it is divisible by the number (80) 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 8034012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16712317440).

8034012000 is an abundant number, since it is smaller than the sum of its proper divisors (25390622880).

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

8034012000 is a wasteful number, since it uses less digits than its factorization.

8034012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10668 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8034012000 is about 89632.6503011040. The cubic root of 8034012000 is about 2002.8303260711.

Adding to 8034012000 its reverse (2104308), we get a palindrome (8036116308).

The spelling of 8034012000 in words is "eight billion, thirty-four million, twelve thousand".