Search a number
-
+
34135504 = 2413164113
BaseRepresentation
bin1000001000110…
…1110111010000
32101020021002221
42002031313100
532214314004
63215350424
7563101264
oct202156720
971207087
1034135504
11182a5567
12b522414
1370c2430
1447680a4
152ee4354
hex208ddd0

34135504 has 20 divisors (see below), whose sum is σ = 71225476. Its totient is φ = 15754752.

The previous prime is 34135501. The next prime is 34135529. The reversal of 34135504 is 40553143.

It can be written as a sum of positive squares in 2 ways, for example, as 12531600 + 21603904 = 3540^2 + 4648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81849 + ... + 82264.

Almost surely, 234135504 is an apocalyptic number.

It is an amenable number.

34135504 is an abundant number, since it is smaller than the sum of its proper divisors (37089972).

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

34135504 is a wasteful number, since it uses less digits than its factorization.

34135504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164134 (or 164128 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 34135504 is about 5842.5597130025. The cubic root of 34135504 is about 324.3909825521.

Adding to 34135504 its reverse (40553143), we get a palindrome (74688647).

The spelling of 34135504 in words is "thirty-four million, one hundred thirty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 164113 328226 656452 1312904 2133469 2625808 4266938 8533876 17067752 34135504