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34390404 = 22322932941
BaseRepresentation
bin1000001100110…
…0000110000100
32101201012202200
42003030012010
532300443104
63225034500
7565212366
oct203140604
971635680
1034390404
111845a024
12b625a30
137181469
1447d2d36
153044b39
hex20cc184

34390404 has 36 divisors (see below), whose sum is σ = 89931660. Its totient is φ = 11067840.

The previous prime is 34390403. The next prime is 34390409. The reversal of 34390404 is 40409343.

It can be written as a sum of positive squares in 2 ways, for example, as 25100100 + 9290304 = 5010^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34390403) 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, 15427 + ... + 17514.

Almost surely, 234390404 is an apocalyptic number.

It is an amenable number.

34390404 is an abundant number, since it is smaller than the sum of its proper divisors (55541256).

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

34390404 is a wasteful number, since it uses less digits than its factorization.

34390404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32980 (or 32975 counting only the distinct ones).

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

The square root of 34390404 is about 5864.3332101783. Note that the first 3 decimals coincide. The cubic root of 34390404 is about 325.1964224858.

Adding to 34390404 its reverse (40409343), we get a palindrome (74799747).

The spelling of 34390404 in words is "thirty-four million, three hundred ninety thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 32941 65882 98823 131764 197646 296469 395292 592938 955289 1185876 1910578 2865867 3821156 5731734 8597601 11463468 17195202 34390404