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34504040 = 2356179179
BaseRepresentation
bin1000001110011…
…1110101101000
32101220222122102
42003213311220
532313112130
63231312532
7566164604
oct203476550
971828572
1034504040
111852743a
12b67b748
1371c10bc
144822504
153068645
hex20e7d68

34504040 has 64 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 13328640.

The previous prime is 34504039. The next prime is 34504051. The reversal of 34504040 is 4040543.

It is a happy number.

34504040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 192671 + ... + 192849.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 234504040 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 34504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).

34504040 is an abundant number, since it is smaller than the sum of its proper divisors (45847960).

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

34504040 is a wasteful number, since it uses less digits than its factorization.

34504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 34504040 is about 5874.0139598064. The cubic root of 34504040 is about 325.5542102076.

Adding to 34504040 its reverse (4040543), we get a palindrome (38544583).

The spelling of 34504040 in words is "thirty-four million, five hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 79 122 158 179 244 305 316 358 395 488 610 632 716 790 895 1220 1432 1580 1790 2440 3160 3580 4819 7160 9638 10919 14141 19276 21838 24095 28282 38552 43676 48190 54595 56564 70705 87352 96380 109190 113128 141410 192760 218380 282820 436760 565640 862601 1725202 3450404 4313005 6900808 8626010 17252020 34504040