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834949350 = 233523171281
BaseRepresentation
bin110001110001000…
…101000011100110
32011012002211012000
4301301011003212
53202221334400
6214503510130
726455644444
oct6161050346
92135084160
10834949350
11399341894
121b3758346
13103c9b891
147cc65b94
154d47c600
hex31c450e6

834949350 has 192 divisors, whose sum is σ = 2416988160. Its totient is φ = 211680000.

The previous prime is 834949331. The next prime is 834949351. The reversal of 834949350 is 53949438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 834949296 and 834949305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834949351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2971210 + ... + 2971490.

It is an arithmetic number, because the mean of its divisors is an integer number (12588480).

Almost surely, 2834949350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834949350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208494080).

834949350 is an abundant number, since it is smaller than the sum of its proper divisors (1582038810).

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

834949350 is a wasteful number, since it uses less digits than its factorization.

834949350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 834949350 is about 28895.4901325449. The cubic root of 834949350 is about 941.6439280628.

The spelling of 834949350 in words is "eight hundred thirty-four million, nine hundred forty-nine thousand, three hundred fifty".