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2312835840 = 283257232943
BaseRepresentation
bin1000100111011011…
…0001001100000000
312222012000020022200
42021312301030000
514214041221330
61021300033200
7111212531430
oct21166611400
95865006280
102312835840
11a87598887
12546692800
132ab21a723
1417d2502c0
15d80a9a60
hex89db1300

2312835840 has 864 divisors, whose sum is σ = 10101611520. Its totient is φ = 476872704.

The previous prime is 2312835827. The next prime is 2312835841. The reversal of 2312835840 is 485382132.

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 = 2312835795 and 2312835804.

It is not an unprimeable number, because it can be changed into a prime (2312835841) 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, 53786859 + ... + 53786901.

It is an arithmetic number, because the mean of its divisors is an integer number (11691680).

Almost surely, 22312835840 is an apocalyptic number.

2312835840 is a gapful number since it is divisible by the number (20) 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 2312835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050805760).

2312835840 is an abundant number, since it is smaller than the sum of its proper divisors (7788775680).

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

2312835840 is a wasteful number, since it uses less digits than its factorization.

2312835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2312835840 is about 48091.9519254521. The cubic root of 2312835840 is about 1322.4571312917.

The spelling of 2312835840 in words is "two billion, three hundred twelve million, eight hundred thirty-five thousand, eight hundred forty".