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34413301 = 1321571297
BaseRepresentation
bin1000001101000…
…1101011110101
32101202101011201
42003101223311
532302211201
63225332501
7565336216
oct203215365
971671151
1034413301
111847524a
12b637131
13718ba00
1447db40d
15304b801
hex20d1af5

34413301 has 12 divisors (see below), whose sum is σ = 37530372. Its totient is φ = 31539456.

The previous prime is 34413299. The next prime is 34413319. The reversal of 34413301 is 10331443.

34413301 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 6 ways, for example, as 599076 + 33814225 = 774^2 + 5815^2 .

It is not a de Polignac number, because 34413301 - 21 = 34413299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34413341) 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 11 ways as a sum of consecutive naturals, for example, 25885 + ... + 27181.

It is an arithmetic number, because the mean of its divisors is an integer number (3127531).

Almost surely, 234413301 is an apocalyptic number.

It is an amenable number.

34413301 is a deficient number, since it is larger than the sum of its proper divisors (3117071).

34413301 is a wasteful number, since it uses less digits than its factorization.

34413301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 34413301 is about 5866.2851106983. The cubic root of 34413301 is about 325.2685779877.

Adding to 34413301 its reverse (10331443), we get a palindrome (44744744).

The spelling of 34413301 in words is "thirty-four million, four hundred thirteen thousand, three hundred one".

Divisors: 1 13 157 169 1297 2041 16861 26533 203629 219193 2647177 34413301