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34050420 = 22325189169
BaseRepresentation
bin1000000111100…
…1000101110100
32101001221101200
42001321011310
532204103140
63213452500
7562265235
oct201710564
971057350
1034050420
1118247648
12b4a1130
1370927a1
14474508c
152ec9030
hex2079174

34050420 has 36 divisors (see below), whose sum is σ = 103286820. Its totient is φ = 9080064.

The previous prime is 34050389. The next prime is 34050427. The reversal of 34050420 is 2405043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19027044 + 15023376 = 4362^2 + 3876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×340504202 = 2318862204352800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34050393 and 34050402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050427) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 94405 + ... + 94764.

Almost surely, 234050420 is an apocalyptic number.

34050420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34050420 is an abundant number, since it is smaller than the sum of its proper divisors (69236400).

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

34050420 is a wasteful number, since it uses less digits than its factorization.

34050420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189184 (or 189179 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34050420 is about 5835.2737724977. The cubic root of 34050420 is about 324.1212394921.

Adding to 34050420 its reverse (2405043), we get a palindrome (36455463).

The spelling of 34050420 in words is "thirty-four million, fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 189169 378338 567507 756676 945845 1135014 1702521 1891690 2270028 2837535 3405042 3783380 5675070 6810084 8512605 11350140 17025210 34050420