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34034340 = 22351761547
BaseRepresentation
bin1000000111010…
…1001010100100
32101001010100010
42001311022210
532203044330
63213250220
7562200324
oct201651244
971033303
1034034340
111823655a
12b493970
137088382
14473d284
152ec43b0
hex20752a4

34034340 has 96 divisors (see below), whose sum is σ = 102743424. Its totient is φ = 8386560.

The previous prime is 34034333. The next prime is 34034369. The reversal of 34034340 is 4343043.

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, 61947 + ... + 62493.

It is an arithmetic number, because the mean of its divisors is an integer number (1070244).

Almost surely, 234034340 is an apocalyptic number.

34034340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51371712).

34034340 is an abundant number, since it is smaller than the sum of its proper divisors (68709084).

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

34034340 is a wasteful number, since it uses less digits than its factorization.

34034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 34034340 is about 5833.8957824082. The cubic root of 34034340 is about 324.0702103598.

Adding to 34034340 its reverse (4343043), we get a palindrome (38377383).

The spelling of 34034340 in words is "thirty-four million, thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 547 610 732 915 1020 1037 1094 1220 1641 1830 2074 2188 2735 3111 3282 3660 4148 5185 5470 6222 6564 8205 9299 10370 10940 12444 15555 16410 18598 20740 27897 31110 32820 33367 37196 46495 55794 62220 66734 92990 100101 111588 133468 139485 166835 185980 200202 278970 333670 400404 500505 557940 567239 667340 1001010 1134478 1701717 2002020 2268956 2836195 3403434 5672390 6806868 8508585 11344780 17017170 34034340