Search a number
-
+
34568064 = 273237811
BaseRepresentation
bin1000001111011…
…1011110000000
32102001020110200
42003313132000
532322134224
63232525200
7566552346
oct203673600
972036420
1034568064
1118570553
12b6b0800
13721429b
14483b996
15307c5c9
hex20f7780

34568064 has 96 divisors (see below), whose sum is σ = 102287640. Its totient is φ = 11197440.

The previous prime is 34568063. The next prime is 34568111. The reversal of 34568064 is 46086543.

34568064 is a `hidden beast` number, since 34 + 568 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34568063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42219 + ... + 43029.

Almost surely, 234568064 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 34568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51143820).

34568064 is an abundant number, since it is smaller than the sum of its proper divisors (67719576).

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

34568064 is a wasteful number, since it uses less digits than its factorization.

34568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 34568064 is about 5879.4611998039. The cubic root of 34568064 is about 325.7554465856.

It can be divided in two parts, 345680 and 64, that added together give a square (345744 = 5882).

The spelling of 34568064 in words is "thirty-four million, five hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 811 888 1152 1184 1332 1622 1776 2368 2433 2664 3244 3552 4736 4866 5328 6488 7104 7299 9732 10656 12976 14208 14598 19464 21312 25952 29196 30007 38928 42624 51904 58392 60014 77856 90021 103808 116784 120028 155712 180042 233568 240056 270063 311424 360084 467136 480112 540126 720168 934272 960224 1080252 1440336 1920448 2160504 2880672 3840896 4321008 5761344 8642016 11522688 17284032 34568064