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834254640 = 24345314153
BaseRepresentation
bin110001101110011…
…011011100110000
32011010210112020000
4301232123130300
53202032122030
6214440550000
726450022162
oct6156333460
92133715200
10834254640
11398a0794a
121b3482300
13103ab75cb
147cb24932
154d391860
hex31b9b730

834254640 has 200 divisors, whose sum is σ = 2991677568. Its totient is φ = 215239680.

The previous prime is 834254633. The next prime is 834254669. The reversal of 834254640 is 46452438.

834254640 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 5 + 4 + 640 = 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 = 834254595 and 834254604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198804 + ... + 202956.

Almost surely, 2834254640 is an apocalyptic number.

834254640 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 834254640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495838784).

834254640 is an abundant number, since it is smaller than the sum of its proper divisors (2157422928).

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

834254640 is a wasteful number, since it uses less digits than its factorization.

834254640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 834254640 is about 28883.4665509526. The cubic root of 834254640 is about 941.3826942651.

The spelling of 834254640 in words is "eight hundred thirty-four million, two hundred fifty-four thousand, six hundred forty".