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34329340 = 22523372017
BaseRepresentation
bin1000001011110…
…1001011111100
32101121010000001
42002331023330
532242014330
63223444044
7564536353
oct202751374
971533001
1034329340
1118418161
12b5b6624
13715c726
1447b899a
1530319ca
hex20bd2fc

34329340 has 48 divisors (see below), whose sum is σ = 77297472. Its totient is φ = 12773376.

The previous prime is 34329331. The next prime is 34329343. The reversal of 34329340 is 4392343.

It is a junction number, because it is equal to n+sod(n) for n = 34329299 and 34329308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34329343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16012 + ... + 18028.

It is an arithmetic number, because the mean of its divisors is an integer number (1610364).

Almost surely, 234329340 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 34329340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38648736).

34329340 is an abundant number, since it is smaller than the sum of its proper divisors (42968132).

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

34329340 is a wasteful number, since it uses less digits than its factorization.

34329340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 34329340 is about 5859.1245079790. The cubic root of 34329340 is about 325.0038342743.

The spelling of 34329340 in words is "thirty-four million, three hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 2017 3404 4034 4255 8068 8510 10085 17020 20170 40340 46391 74629 92782 149258 185564 231955 298516 373145 463910 746290 927820 1492580 1716467 3432934 6865868 8582335 17164670 34329340