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34000064 = 267292617
BaseRepresentation
bin1000000110110…
…0110011000000
32100222101022122
42001230303000
532201000224
63212423412
7561665360
oct201546300
970871278
1034000064
111821282a
12b477b68
1370758a7
1447309a0
152eb915e
hex206ccc0

34000064 has 56 divisors (see below), whose sum is σ = 79796640. Its totient is φ = 14063616.

The previous prime is 34000061. The next prime is 34000067. The reversal of 34000064 is 46000043.

It is an interprime number because it is at equal distance from previous prime (34000061) and next prime (34000067).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (34000061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11684 + ... + 14300.

It is an arithmetic number, because the mean of its divisors is an integer number (1424940).

Almost surely, 234000064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39898320).

34000064 is an abundant number, since it is smaller than the sum of its proper divisors (45796576).

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

34000064 is a wasteful number, since it uses less digits than its factorization.

34000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34000064 is about 5830.9573827974. The cubic root of 34000064 is about 323.9613833974.

The spelling of 34000064 in words is "thirty-four million, sixty-four", and thus it is an aban number and an eban number.

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 2617 3248 5234 6496 10468 12992 18319 20936 36638 41872 73276 75893 83744 146552 151786 167488 293104 303572 531251 586208 607144 1062502 1172416 1214288 2125004 2428576 4250008 4857152 8500016 17000032 34000064