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34034130 = 232513191531
BaseRepresentation
bin1000000111010…
…1000111010010
32101001010001100
42001311013102
532203043010
63213245230
7562166604
oct201650722
971033040
1034034130
1118236389
12b493816
137088250
14473d174
152ec42c0
hex20751d2

34034130 has 96 divisors (see below), whose sum is σ = 100376640. Its totient is φ = 7931520.

The previous prime is 34034129. The next prime is 34034171. The reversal of 34034130 is 3143043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21465 + ... + 22995.

It is an arithmetic number, because the mean of its divisors is an integer number (1045590).

Almost surely, 234034130 is an apocalyptic number.

34034130 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 34034130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50188320).

34034130 is an abundant number, since it is smaller than the sum of its proper divisors (66342510).

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

34034130 is a wasteful number, since it uses less digits than its factorization.

34034130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34034130 is about 5833.8777841158. The cubic root of 34034130 is about 324.0695438282.

Adding to 34034130 its reverse (3143043), we get a palindrome (37177173).

The spelling of 34034130 in words is "thirty-four million, thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1531 1710 2223 2470 3062 3705 4446 4593 7410 7655 9186 11115 13779 15310 19903 22230 22965 27558 29089 39806 45930 58178 59709 68895 87267 99515 119418 137790 145445 174534 179127 199030 261801 290890 298545 358254 378157 436335 523602 597090 756314 872670 895635 1134471 1309005 1791270 1890785 2268942 2618010 3403413 3781570 5672355 6806826 11344710 17017065 34034130