Search a number
-
+
834304320 = 26335611583
BaseRepresentation
bin110001101110100…
…111100101000000
32011010220001101000
4301232213211000
53202040214240
6214442012000
726450320053
oct6156474500
92133801330
10834304320
11398a41203
121b34a7000
13103b040c5
147cb38a9a
154d3a1430
hex31ba7940

834304320 has 224 divisors, whose sum is σ = 2993379840. Its totient is φ = 218695680.

The previous prime is 834304319. The next prime is 834304337. The reversal of 834304320 is 23403438.

834304320 is a `hidden beast` number, since 8 + 34 + 304 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526249 + ... + 527831.

Almost surely, 2834304320 is an apocalyptic number.

834304320 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 834304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496689920).

834304320 is an abundant number, since it is smaller than the sum of its proper divisors (2159075520).

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

834304320 is a wasteful number, since it uses less digits than its factorization.

834304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 834304320 is about 28884.3265457237. The cubic root of 834304320 is about 941.4013803919.

Adding to 834304320 its reverse (23403438), we get a palindrome (857707758).

The spelling of 834304320 in words is "eight hundred thirty-four million, three hundred four thousand, three hundred twenty".