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34340540 = 22513269491
BaseRepresentation
bin1000001011111…
…1111010111100
32101121200100212
42002333322330
532242344130
63224011552
7564614123
oct202777274
971550325
1034340540
1118425613
12b600bb8
137164860
1447bcaba
153034e95
hex20bfebc

34340540 has 48 divisors (see below), whose sum is σ = 78109920. Its totient is φ = 12606720.

The previous prime is 34340533. The next prime is 34340563. The reversal of 34340540 is 4504343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69695 + ... + 70185.

It is an arithmetic number, because the mean of its divisors is an integer number (1627290).

Almost surely, 234340540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34340540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39054960).

34340540 is an abundant number, since it is smaller than the sum of its proper divisors (43769380).

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

34340540 is a wasteful number, since it uses less digits than its factorization.

34340540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 34340540 is about 5860.0802042293. The cubic root of 34340540 is about 325.0391747650.

Adding to 34340540 its reverse (4504343), we get a palindrome (38844883).

The spelling of 34340540 in words is "thirty-four million, three hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 269 491 538 982 1076 1345 1964 2455 2690 3497 4910 5380 6383 6994 9820 12766 13988 17485 25532 31915 34970 63830 69940 127660 132079 264158 528316 660395 1320790 1717027 2641580 3434054 6868108 8585135 17170270 34340540