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34164040 = 2351734937
BaseRepresentation
bin1000001001010…
…0110101001000
32101021201020211
42002110311020
532221222130
63220130504
7563250421
oct202246510
971251224
1034164040
1118314a49
12b536a34
137102411
144774648
152eeca2a
hex2094d48

34164040 has 32 divisors (see below), whose sum is σ = 77329080. Its totient is φ = 13583872.

The previous prime is 34164019. The next prime is 34164047. The reversal of 34164040 is 4046143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31967716 + 2196324 = 5654^2 + 1482^2 .

It is not an unprimeable number, because it can be changed into a prime (34164047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4452 + ... + 9388.

Almost surely, 234164040 is an apocalyptic number.

It is an amenable number.

34164040 is an abundant number, since it is smaller than the sum of its proper divisors (43165040).

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

34164040 is a wasteful number, since it uses less digits than its factorization.

34164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34164040 is about 5845.0012831478. The cubic root of 34164040 is about 324.4813502703.

The spelling of 34164040 in words is "thirty-four million, one hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 4937 6920 9874 19748 24685 39496 49370 98740 197480 854101 1708202 3416404 4270505 6832808 8541010 17082020 34164040