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34012004 = 22131933389
BaseRepresentation
bin1000000110111…
…1101101100100
32100222222200212
42001233231210
532201341004
63212554552
7562045235
oct201575544
970888625
1034012004
11182207a4
12b482a58
13707b160
14473508c
152ebc96e
hex206fb64

34012004 has 24 divisors (see below), whose sum is σ = 64450680. Its totient is φ = 15611904.

The previous prime is 34012003. The next prime is 34012007. The reversal of 34012004 is 40021043.

34012004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4418404 + 29593600 = 2102^2 + 5440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34012004.

It is not an unprimeable number, because it can be changed into a prime (34012003) 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 7 ways as a sum of consecutive naturals, for example, 8342 + ... + 11730.

It is an arithmetic number, because the mean of its divisors is an integer number (2685445).

Almost surely, 234012004 is an apocalyptic number.

It is an amenable number.

34012004 is a deficient number, since it is larger than the sum of its proper divisors (30438676).

34012004 is a wasteful number, since it uses less digits than its factorization.

34012004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 34012004 is about 5831.9811385155. The cubic root of 34012004 is about 323.9993014261. Note that the first 3 decimals are identical.

Adding to 34012004 its reverse (40021043), we get a palindrome (74033047).

The spelling of 34012004 in words is "thirty-four million, twelve thousand, four".

Divisors: 1 2 4 13 26 52 193 386 772 2509 3389 5018 6778 10036 13556 44057 88114 176228 654077 1308154 2616308 8503001 17006002 34012004