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34025420 = 225111311897
BaseRepresentation
bin1000000111001…
…0111111001100
32101000200002202
42001302333030
532202303140
63213141032
7562132322
oct201627714
971020082
1034025420
111822a890
12b48a778
1370842b0
144739d12
152ec1915
hex2072fcc

34025420 has 48 divisors (see below), whose sum is σ = 83952288. Its totient is φ = 11420160.

The previous prime is 34025419. The next prime is 34025423. The reversal of 34025420 is 2452043.

34025420 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 34025392 and 34025401.

It is not an unprimeable number, because it can be changed into a prime (34025423) 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 15 ways as a sum of consecutive naturals, for example, 3089 + ... + 8808.

It is an arithmetic number, because the mean of its divisors is an integer number (1749006).

Almost surely, 234025420 is an apocalyptic number.

It is an amenable number.

34025420 is an abundant number, since it is smaller than the sum of its proper divisors (49926868).

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

34025420 is a wasteful number, since it uses less digits than its factorization.

34025420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11930 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 34025420 is about 5833.1312345943. The cubic root of 34025420 is about 324.0418962232.

Adding to 34025420 its reverse (2452043), we get a palindrome (36477463).

The spelling of 34025420 in words is "thirty-four million, twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 11897 23794 47588 59485 118970 130867 154661 237940 261734 309322 523468 618644 654335 773305 1308670 1546610 1701271 2617340 3093220 3402542 6805084 8506355 17012710 34025420