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34135134 = 231119163167
BaseRepresentation
bin1000001000110…
…1110001011110
32101020020121020
42002031301132
532214311014
63215345010
7563100225
oct202156136
971206536
1034135134
11182a5260
12b522166
1370c2207
144767cbc
152ee41a9
hex208dc5e

34135134 has 64 divisors (see below), whose sum is σ = 79349760. Its totient is φ = 9681120.

The previous prime is 34135111. The next prime is 34135147. The reversal of 34135134 is 43153143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204319 + ... + 204485.

It is an arithmetic number, because the mean of its divisors is an integer number (1239840).

Almost surely, 234135134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34135134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39674880).

34135134 is an abundant number, since it is smaller than the sum of its proper divisors (45214626).

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

34135134 is a wasteful number, since it uses less digits than its factorization.

34135134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its digits is 2160, while the sum is 24.

The square root of 34135134 is about 5842.5280487132. The cubic root of 34135134 is about 324.3898105065.

Adding to 34135134 its reverse (43153143), we get a palindrome (77288277).

Subtracting 34135134 from its reverse (43153143), we obtain a square (9018009 = 30032).

The spelling of 34135134 in words is "thirty-four million, one hundred thirty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 163 167 209 326 334 418 489 501 627 978 1002 1254 1793 1837 3097 3173 3586 3674 5379 5511 6194 6346 9291 9519 10758 11022 18582 19038 27221 34067 34903 54442 68134 69806 81663 102201 104709 163326 204402 209418 299431 517199 598862 898293 1034398 1551597 1796586 3103194 5689189 11378378 17067567 34135134