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34004004 = 2232833667
BaseRepresentation
bin1000000110110…
…1110000100100
32100222120201120
42001231300210
532201112004
63212453540
7562013016
oct201556044
970876646
1034004004
1118215791
12b47a2b0
137077618
1447321b6
152eba3d9
hex206dc24

34004004 has 12 divisors (see below), whose sum is σ = 79342704. Its totient is φ = 11334664.

The previous prime is 34003997. The next prime is 34004017. The reversal of 34004004 is 40040043.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1416822 + ... + 1416845.

It is an arithmetic number, because the mean of its divisors is an integer number (6611892).

Almost surely, 234004004 is an apocalyptic number.

It is an amenable number.

34004004 is an abundant number, since it is smaller than the sum of its proper divisors (45338700).

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

34004004 is a wasteful number, since it uses less digits than its factorization.

34004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833674 (or 2833672 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34004004 is about 5831.2952249050. The cubic root of 34004004 is about 323.9738966929.

Adding to 34004004 its reverse (40040043), we get a palindrome (74044047).

The spelling of 34004004 in words is "thirty-four million, four thousand, four", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 2833667 5667334 8501001 11334668 17002002 34004004