Search a number
-
+
834984150 = 2352711136783
BaseRepresentation
bin110001110001001…
…101100011010110
32011012011120220220
4301301031203112
53202223443100
6214504335210
726456151060
oct6161154326
92135146826
10834984150
11399365a50
121b3774506
13103cb1680
147cc74730
154d487aa0
hex31c4d8d6

834984150 has 384 divisors, whose sum is σ = 2855817216. Its totient is φ = 155865600.

The previous prime is 834984131. The next prime is 834984167. The reversal of 834984150 is 51489438.

834984150 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10060009 + ... + 10060091.

It is an arithmetic number, because the mean of its divisors is an integer number (7437024).

Almost surely, 2834984150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834984150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427908608).

834984150 is an abundant number, since it is smaller than the sum of its proper divisors (2020833066).

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

834984150 is a wasteful number, since it uses less digits than its factorization.

834984150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 834984150 is about 28896.0922963642. The cubic root of 834984150 is about 941.6570101950.

The spelling of 834984150 in words is "eight hundred thirty-four million, nine hundred eighty-four thousand, one hundred fifty".