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864232740 = 223457174483
BaseRepresentation
bin110011100000110…
…010010100100100
32020020012120110000
4303200302110210
53232220421430
6221431301300
730262566660
oct6340622444
92206176400
10864232740
11403922938
1220151a830
1310a082627
1482ac98a0
1550d13e60
hex33832524

864232740 has 240 divisors, whose sum is σ = 3281427072. Its totient is φ = 185877504.

The previous prime is 864232739. The next prime is 864232781. The reversal of 864232740 is 47232468.

864232740 is a `hidden beast` number, since 8 + 642 + 3 + 2 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 864232695 and 864232704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 190539 + ... + 195021.

Almost surely, 2864232740 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 864232740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640713536).

864232740 is an abundant number, since it is smaller than the sum of its proper divisors (2417194332).

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

864232740 is a wasteful number, since it uses less digits than its factorization.

864232740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 864232740 is about 29397.8356346177. The cubic root of 864232740 is about 952.5261447346.

The spelling of 864232740 in words is "eight hundred sixty-four million, two hundred thirty-two thousand, seven hundred forty".