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34253064 = 2333347457
BaseRepresentation
bin1000001010101…
…0100100001000
32101110020101000
42002222210020
532232044224
63222055000
7564101106
oct202524410
971406330
1034253064
111837591a
12b57a460
137133ab1
144798c76
1530190c9
hex20aa908

34253064 has 64 divisors (see below), whose sum is σ = 95630400. Its totient is φ = 11359872.

The previous prime is 34253059. The next prime is 34253071. The reversal of 34253064 is 46035243.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 74724 + ... + 75180.

It is an arithmetic number, because the mean of its divisors is an integer number (1494225).

Almost surely, 234253064 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 34253064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47815200).

34253064 is an abundant number, since it is smaller than the sum of its proper divisors (61377336).

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

34253064 is a wasteful number, since it uses less digits than its factorization.

34253064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34253064 is about 5852.6117246918. The cubic root of 34253064 is about 324.7629482434.

The spelling of 34253064 in words is "thirty-four million, two hundred fifty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 347 457 694 914 1041 1371 1388 1828 2082 2742 2776 3123 3656 4113 4164 5484 6246 8226 8328 9369 10968 12339 12492 16452 18738 24678 24984 32904 37476 49356 74952 98712 158579 317158 475737 634316 951474 1268632 1427211 1902948 2854422 3805896 4281633 5708844 8563266 11417688 17126532 34253064