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34006050 = 23252135813
BaseRepresentation
bin1000000110111…
…0010000100010
32100222200112100
42001232100202
532201143200
63212511230
7562022001
oct201562042
970880470
1034006050
1118217281
12b47b516
137078530
144732c38
152ebad00
hex206e422

34006050 has 72 divisors (see below), whose sum is σ = 98407764. Its totient is φ = 8369280.

The previous prime is 34006033. The next prime is 34006057. The reversal of 34006050 is 5060043.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9235521 + 24770529 = 3039^2 + 4977^2 .

It is a super-2 number, since 2×340060502 = 2312822873205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34006057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2944 + ... + 8756.

Almost surely, 234006050 is an apocalyptic number.

34006050 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 34006050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49203882).

34006050 is an abundant number, since it is smaller than the sum of its proper divisors (64401714).

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

34006050 is a wasteful number, since it uses less digits than its factorization.

34006050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34006050 is about 5831.4706549892. The cubic root of 34006050 is about 323.9803943326.

Adding to 34006050 its reverse (5060043), we get a palindrome (39066093).

The spelling of 34006050 in words is "thirty-four million, six thousand, fifty", and thus it is an eban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5813 5850 11626 17439 29065 34878 52317 58130 75569 87195 104634 145325 151138 174390 226707 261585 290650 377845 435975 453414 523170 680121 755690 871950 1133535 1307925 1360242 1889225 2267070 2615850 3400605 3778450 5667675 6801210 11335350 17003025 34006050