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34634130 = 23531167223
BaseRepresentation
bin1000010000011…
…1100110010010
32102011121002120
42010013212102
532331243010
63234155110
7600246066
oct204074622
972147076
1034634130
1118606153
12b722a96
13723838b
144857aa6
153091e70
hex2107992

34634130 has 64 divisors (see below), whose sum is σ = 86704128. Its totient is φ = 8844480.

The previous prime is 34634129. The next prime is 34634143. The reversal of 34634130 is 3143643.

It is a super-3 number, since 3×346341303 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34634130.

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, 155199 + ... + 155421.

It is an arithmetic number, because the mean of its divisors is an integer number (1354752).

Almost surely, 234634130 is an apocalyptic number.

34634130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34634130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352064).

34634130 is an abundant number, since it is smaller than the sum of its proper divisors (52069998).

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

34634130 is a wasteful number, since it uses less digits than its factorization.

34634130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 34634130 is about 5885.0768898970. The cubic root of 34634130 is about 325.9628409350.

Adding to 34634130 its reverse (3143643), we get a palindrome (37777773).

The spelling of 34634130 in words is "thirty-four million, six hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 167 186 223 310 334 446 465 501 669 835 930 1002 1115 1338 1670 2230 2505 3345 5010 5177 6690 6913 10354 13826 15531 20739 25885 31062 34565 37241 41478 51770 69130 74482 77655 103695 111723 155310 186205 207390 223446 372410 558615 1117230 1154471 2308942 3463413 5772355 6926826 11544710 17317065 34634130