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8321376000 = 28353722961
BaseRepresentation
bin1111011111111111…
…00001111100000000
3210110221010200220010
413233333201330000
5114020233013000
63453415544520
7413132346300
oct75777417400
923427120803
108321376000
113590221a53
12174298b140
13a27cb6732
1458d243600
1533a82cd50
hex1effe1f00

8321376000 has 864 divisors, whose sum is σ = 33805961280. Its totient is φ = 1806336000.

The previous prime is 8321375963. The next prime is 8321376001. The reversal of 8321376000 is 6731238.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8321376001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136415970 + ... + 136416030.

It is an arithmetic number, because the mean of its divisors is an integer number (39127270).

Almost surely, 28321376000 is an apocalyptic number.

8321376000 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 8321376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16902980640).

8321376000 is an abundant number, since it is smaller than the sum of its proper divisors (25484585280).

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

8321376000 is a wasteful number, since it uses less digits than its factorization.

8321376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 8321376000 is about 91221.5763950613. The cubic root of 8321376000 is about 2026.4305088016.

The spelling of 8321376000 in words is "eight billion, three hundred twenty-one million, three hundred seventy-six thousand".