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834333201 = 32137131053
BaseRepresentation
bin110001101110101…
…110101000010001
32011010221111222200
4301232232220101
53202042130301
6214442353413
726450500212
oct6156565021
92133844880
10834333201
11398a60979
121b34bb869
13103b142b0
147cb45409
154d3a9c86
hex31baea11

834333201 has 12 divisors (see below), whose sum is σ = 1297851828. Its totient is φ = 513435744.

The previous prime is 834333193. The next prime is 834333229. The reversal of 834333201 is 102333438.

834333201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 179024400 + 655308801 = 13380^2 + 25599^2 .

It is not a de Polignac number, because 834333201 - 23 = 834333193 is a prime.

It is a super-2 number, since 2×8343332012 = 1392223780581812802, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (834333251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3565410 + ... + 3565643.

It is an arithmetic number, because the mean of its divisors is an integer number (108154319).

Almost surely, 2834333201 is an apocalyptic number.

It is an amenable number.

834333201 is a deficient number, since it is larger than the sum of its proper divisors (463518627).

834333201 is a wasteful number, since it uses less digits than its factorization.

834333201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131072 (or 7131069 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 834333201 is about 28884.8264838133. The cubic root of 834333201 is about 941.4122430547.

Adding to 834333201 its reverse (102333438), we get a palindrome (936666639).

The spelling of 834333201 in words is "eight hundred thirty-four million, three hundred thirty-three thousand, two hundred one".

Divisors: 1 3 9 13 39 117 7131053 21393159 64179477 92703689 278111067 834333201