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34514340 = 22357372221
BaseRepresentation
bin1000001110101…
…0010110100100
32101221111202220
42003222112210
532313424330
63231432340
7566236620
oct203522644
971844686
1034514340
1118534153
12b6856b0
1371c59b3
144826180
15306b710
hex20ea5a4

34514340 has 96 divisors (see below), whose sum is σ = 113481984. Its totient is φ = 7672320.

The previous prime is 34514299. The next prime is 34514341. The reversal of 34514340 is 4341543.

It is a self number, because there is not a number n which added to its sum of digits gives 34514340.

It is not an unprimeable number, because it can be changed into a prime (34514341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14430 + ... + 16650.

It is an arithmetic number, because the mean of its divisors is an integer number (1182104).

Almost surely, 234514340 is an apocalyptic number.

34514340 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 34514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56740992).

34514340 is an abundant number, since it is smaller than the sum of its proper divisors (78967644).

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

34514340 is a wasteful number, since it uses less digits than its factorization.

34514340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34514340 is about 5874.8906372800. The cubic root of 34514340 is about 325.5866013398.

Adding to 34514340 its reverse (4341543), we get a palindrome (38855883).

The spelling of 34514340 in words is "thirty-four million, five hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2221 2590 3108 3885 4442 5180 6663 7770 8884 11105 13326 15540 15547 22210 26652 31094 33315 44420 46641 62188 66630 77735 82177 93282 133260 155470 164354 186564 233205 246531 310940 328708 410885 466410 493062 575239 821770 932820 986124 1150478 1232655 1643540 1725717 2300956 2465310 2876195 3451434 4930620 5752390 6902868 8628585 11504780 17257170 34514340