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831604401 = 3410266721
BaseRepresentation
bin110001100100010…
…100011010110001
32010221210212210000
4301210110122301
53200342320101
6214304100213
726415343425
oct6144243261
92127725700
10831604401
11397467771
121b2604669
1310339a214
147c634b85
154d01b486
hex319146b1

831604401 has 10 divisors (see below), whose sum is σ = 1242273362. Its totient is φ = 554402880.

The previous prime is 831604381. The next prime is 831604427. The reversal of 831604401 is 104406138.

It can be written as a sum of positive squares in only one way, i.e., 426629025 + 404975376 = 20655^2 + 20124^2 .

It is not a de Polignac number, because 831604401 - 26 = 831604337 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (831604441) 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 9 ways as a sum of consecutive naturals, for example, 5133280 + ... + 5133441.

Almost surely, 2831604401 is an apocalyptic number.

831604401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

831604401 is a deficient number, since it is larger than the sum of its proper divisors (410668961).

831604401 is a wasteful number, since it uses less digits than its factorization.

831604401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10266733 (or 10266724 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 831604401 is about 28837.5519245306. The cubic root of 831604401 is about 940.3847832424.

The spelling of 831604401 in words is "eight hundred thirty-one million, six hundred four thousand, four hundred one".

Divisors: 1 3 9 27 81 10266721 30800163 92400489 277201467 831604401