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34340340 = 223517131257
BaseRepresentation
bin1000001011111…
…1110111110100
32101121200002110
42002333313310
532242342330
63224011020
7564613416
oct202776764
971550073
1034340340
1118425451
12b600a70
137164738
1447bc9b6
153034db0
hex20bfdf4

34340340 has 96 divisors (see below), whose sum is σ = 102985344. Its totient is φ = 8519680.

The previous prime is 34340287. The next prime is 34340347. The reversal of 34340340 is 4304343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34340347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133492 + ... + 133748.

It is an arithmetic number, because the mean of its divisors is an integer number (1072764).

Almost surely, 234340340 is an apocalyptic number.

34340340 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 34340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51492672).

34340340 is an abundant number, since it is smaller than the sum of its proper divisors (68645004).

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

34340340 is a wasteful number, since it uses less digits than its factorization.

34340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

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

The square root of 34340340 is about 5860.0631395916. The cubic root of 34340340 is about 325.0385437521.

Adding to 34340340 its reverse (4304343), we get a palindrome (38644683).

The spelling of 34340340 in words is "thirty-four million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 131 170 204 255 257 262 340 393 510 514 524 655 771 786 1020 1028 1285 1310 1542 1572 1965 2227 2570 2620 3084 3855 3930 4369 4454 5140 6681 7710 7860 8738 8908 11135 13107 13362 15420 17476 21845 22270 26214 26724 33405 33667 43690 44540 52428 65535 66810 67334 87380 101001 131070 133620 134668 168335 202002 262140 336670 404004 505005 572339 673340 1010010 1144678 1717017 2020020 2289356 2861695 3434034 5723390 6868068 8585085 11446780 17170170 34340340