Search a number
-
+
350196000 = 25353711379
BaseRepresentation
bin10100110111111…
…001000100100000
3220101221210121020
4110313321010200
51204122233000
654425525440
711451421410
oct2467710440
9811853536
10350196000
1116a749490
1299343880
135772448b
143471c640
1520b26ba0
hex14df9120

350196000 has 384 divisors, whose sum is σ = 1434101760. Its totient is φ = 72576000.

The previous prime is 350195959. The next prime is 350196037. The reversal of 350196000 is 691053.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 923811 + ... + 924189.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2350196000 is an apocalyptic number.

350196000 is a gapful number since it is divisible by the number (30) 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 350196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

350196000 is an abundant number, since it is smaller than the sum of its proper divisors (1083905760).

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

350196000 is a wasteful number, since it uses less digits than its factorization.

350196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 350196000 is about 18713.5245210516. The cubic root of 350196000 is about 704.8613982345.

The spelling of 350196000 in words is "three hundred fifty million, one hundred ninety-six thousand".