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872342784 = 283537379
BaseRepresentation
bin110011111111101…
…110010100000000
32020210110121100000
4303333232110000
53241304432114
6222321200000
730421535265
oct6377562400
92223417300
10872342784
11408462055
12204190000
1310b961b81
1483bdb26c
15518b6e09
hex33fee500

872342784 has 216 divisors, whose sum is σ = 2685897760. Its totient is φ = 282175488.

The previous prime is 872342749. The next prime is 872342797. The reversal of 872342784 is 487243278.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301507 + ... + 2301885.

Almost surely, 2872342784 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 872342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342948880).

872342784 is an abundant number, since it is smaller than the sum of its proper divisors (1813554976).

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

872342784 is an equidigital number, since it uses as much as digits as its factorization.

872342784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 421 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 872342784 is about 29535.4496156737. The cubic root of 872342784 is about 955.4964055769.

The spelling of 872342784 in words is "eight hundred seventy-two million, three hundred forty-two thousand, seven hundred eighty-four".