Search a number
-
+
34260228 = 22321735501
BaseRepresentation
bin1000001010110…
…0010100000100
32101110121012100
42002230110010
532232311403
63222152100
7564131022
oct202542404
971417170
1034260228
1118380242
12b582630
137137132
14479b712
15301b2a3
hex20ac504

34260228 has 36 divisors (see below), whose sum is σ = 87118668. Its totient is φ = 11352000.

The previous prime is 34260203. The next prime is 34260229. The reversal of 34260228 is 82206243.

34260228 is a `hidden beast` number, since 34 + 2 + 602 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 1633284 = 5712^2 + 1278^2 .

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

It is a super-2 number, since 2×342602282 = 2347526445223968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34260229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3478 + ... + 8978.

It is an arithmetic number, because the mean of its divisors is an integer number (2419963).

Almost surely, 234260228 is an apocalyptic number.

It is an amenable number.

34260228 is an abundant number, since it is smaller than the sum of its proper divisors (52858440).

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

34260228 is a wasteful number, since it uses less digits than its factorization.

34260228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34260228 is about 5853.2237271439. The cubic root of 34260228 is about 324.7855879658.

The spelling of 34260228 in words is "thirty-four million, two hundred sixty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 5501 6228 11002 16503 22004 33006 49509 66012 99018 198036 951673 1903346 2855019 3806692 5710038 8565057 11420076 17130114 34260228