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34295000 = 2354193
BaseRepresentation
bin1000001011010…
…0110011011000
32101112100220012
42002310303120
532234420000
63223021052
7564334265
oct202646330
971470805
1034295000
11183a4383
12b59a788
137149bcc
1447aa26c
153026735
hex20b4cd8

34295000 has 80 divisors (see below), whose sum is σ = 84816600. Its totient is φ = 12996000.

The previous prime is 34294999. The next prime is 34295011. The reversal of 34295000 is 59243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×342950002 = 2352294050000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1804991 + ... + 1805009.

Almost surely, 234295000 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 34295000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408300).

34295000 is an abundant number, since it is smaller than the sum of its proper divisors (50521600).

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

34295000 is an frugal number, since it uses more digits than its factorization.

34295000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 34295000 is about 5856.1933028205. The cubic root of 34295000 is about 324.8954298686.

It can be divided in two parts, 342 and 95000, that multiplied together give a square (32490000 = 57002).

The spelling of 34295000 in words is "thirty-four million, two hundred ninety-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 361 380 475 500 625 722 760 950 1000 1250 1444 1805 1900 2375 2500 2888 3610 3800 4750 5000 6859 7220 9025 9500 11875 13718 14440 18050 19000 23750 27436 34295 36100 45125 47500 54872 68590 72200 90250 95000 137180 171475 180500 225625 274360 342950 361000 451250 685900 857375 902500 1371800 1714750 1805000 3429500 4286875 6859000 8573750 17147500 34295000