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34075290 = 2352953739
BaseRepresentation
bin1000000111111…
…1001010011010
32101010012111210
42001333022122
532210402130
63214203550
7562430604
oct201771232
971105453
1034075290
11182642a7
12b4b35b6
1370a0bc2
144750174
152ed15b0
hex207f29a

34075290 has 64 divisors (see below), whose sum is σ = 86313600. Its totient is φ = 8596224.

The previous prime is 34075289. The next prime is 34075309. The reversal of 34075290 is 9257043.

34075290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340752902 = 2322250777168200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 45741 + ... + 46479.

It is an arithmetic number, because the mean of its divisors is an integer number (1348650).

Almost surely, 234075290 is an apocalyptic number.

34075290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34075290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43156800).

34075290 is an abundant number, since it is smaller than the sum of its proper divisors (52238310).

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

34075290 is a wasteful number, since it uses less digits than its factorization.

34075290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 34075290 is about 5837.4043889386. The cubic root of 34075290 is about 324.2001316516.

The spelling of 34075290 in words is "thirty-four million, seventy-five thousand, two hundred ninety".