Search a number
-
+
34004064 = 253354209
BaseRepresentation
bin1000000110110…
…1110001100000
32100222120210210
42001231301200
532201112224
63212454120
7562013133
oct201556140
970876723
1034004064
1118215836
12b47a340
137077663
14473221a
152eba429
hex206dc60

34004064 has 24 divisors (see below), whose sum is σ = 89260920. Its totient is φ = 11334656.

The previous prime is 34004017. The next prime is 34004071. The reversal of 34004064 is 46040043.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34004064.

It is a congruent number.

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, 177009 + ... + 177200.

It is an arithmetic number, because the mean of its divisors is an integer number (3719205).

Almost surely, 234004064 is an apocalyptic number.

It is an amenable number.

34004064 is an abundant number, since it is smaller than the sum of its proper divisors (55256856).

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

34004064 is a wasteful number, since it uses less digits than its factorization.

34004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354222 (or 354214 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34004064 is about 5831.3003695574. The cubic root of 34004064 is about 323.9740872433.

The spelling of 34004064 in words is "thirty-four million, four thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 354209 708418 1062627 1416836 2125254 2833672 4250508 5667344 8501016 11334688 17002032 34004064