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34043620 = 225131271031
BaseRepresentation
bin1000000111011…
…1011011100100
32101001121001211
42001313123210
532203343440
63213401204
7562236352
oct201673344
971047054
1034043620
1118242526
12b499204
13708c670
1447427d2
152ec6eea
hex20776e4

34043620 has 48 divisors (see below), whose sum is σ = 77672448. Its totient is φ = 12458880.

The previous prime is 34043617. The next prime is 34043621. The reversal of 34043620 is 2634043.

34043620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34043591 and 34043600.

It is not an unprimeable number, because it can be changed into a prime (34043621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32505 + ... + 33535.

It is an arithmetic number, because the mean of its divisors is an integer number (1618176).

Almost surely, 234043620 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 34043620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38836224).

34043620 is an abundant number, since it is smaller than the sum of its proper divisors (43628828).

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

34043620 is a wasteful number, since it uses less digits than its factorization.

34043620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 34043620 is about 5834.6910800830. The cubic root of 34043620 is about 324.0996619691.

Adding to 34043620 its reverse (2634043), we get a palindrome (36677663).

The spelling of 34043620 in words is "thirty-four million, forty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1031 1270 1651 2062 2540 3302 4124 5155 6604 8255 10310 13403 16510 20620 26806 33020 53612 67015 130937 134030 261874 268060 523748 654685 1309370 1702181 2618740 3404362 6808724 8510905 17021810 34043620