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34063100 = 2252536427
BaseRepresentation
bin1000000111110…
…0001011111100
32101002120210022
42001330023330
532210004400
63214031312
7562350221
oct201741374
971076708
1034063100
1118256125
12b4a8538
1370984a6
144749948
152eccb85
hex207c2fc

34063100 has 36 divisors (see below), whose sum is σ = 75323304. Its totient is φ = 13366080.

The previous prime is 34063097. The next prime is 34063103. The reversal of 34063100 is 136043.

34063100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34063097) and next prime (34063103).

It is a super-2 number, since 2×340631002 = 2320589563220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34063103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2087 + ... + 8513.

It is an arithmetic number, because the mean of its divisors is an integer number (2092314).

Almost surely, 234063100 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 34063100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37661652).

34063100 is an abundant number, since it is smaller than the sum of its proper divisors (41260204).

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

34063100 is a wasteful number, since it uses less digits than its factorization.

34063100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 34063100 is about 5836.3601670904. The cubic root of 34063100 is about 324.1614675546.

Adding to 34063100 its reverse (136043), we get a palindrome (34199143).

The spelling of 34063100 in words is "thirty-four million, sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 6427 12854 25708 32135 64270 128540 160675 321350 340631 642700 681262 1362524 1703155 3406310 6812620 8515775 17031550 34063100