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34029450 = 23352713277
BaseRepresentation
bin1000000111001…
…1111110001010
32101000212122000
42001303332022
532202420300
63213211430
7562150140
oct201637612
971025560
1034029450
1118232914
12b490b76
137086090
14473b590
152ec2c00
hex2073f8a

34029450 has 192 divisors, whose sum is σ = 115825920. Its totient is φ = 7153920.

The previous prime is 34029439. The next prime is 34029481. The reversal of 34029450 is 5492043.

34029450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122712 + ... + 122988.

It is an arithmetic number, because the mean of its divisors is an integer number (603260).

Almost surely, 234029450 is an apocalyptic number.

34029450 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 34029450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57912960).

34029450 is an abundant number, since it is smaller than the sum of its proper divisors (81796470).

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

34029450 is a wasteful number, since it uses less digits than its factorization.

34029450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34029450 is about 5833.4766649058. The cubic root of 34029450 is about 324.0546889851.

It can be divided in two parts, 3402 and 9450, that multiplied together give a square (32148900 = 56702).

The spelling of 34029450 in words is "thirty-four million, twenty-nine thousand, four hundred fifty".