Search a number
-
+
34060160 = 275192801
BaseRepresentation
bin1000000111101…
…1011110000000
32101002102202102
42001323132000
532204411120
63214005532
7562335521
oct201733600
971072672
1034060160
11182539a2
12b4a68a8
137097054
144748848
152ecbd75
hex207b780

34060160 has 64 divisors (see below), whose sum is σ = 85741200. Its totient is φ = 12902400.

The previous prime is 34060153. The next prime is 34060177. The reversal of 34060160 is 6106043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10760 + ... + 13560.

Almost surely, 234060160 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 34060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42870600).

34060160 is an abundant number, since it is smaller than the sum of its proper divisors (51681040).

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

34060160 is a wasteful number, since it uses less digits than its factorization.

34060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 34060160 is about 5836.1082923469. The cubic root of 34060160 is about 324.1521411169.

The spelling of 34060160 in words is "thirty-four million, sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 2801 3040 5602 6080 11204 12160 14005 22408 28010 44816 53219 56020 89632 106438 112040 179264 212876 224080 266095 358528 425752 448160 532190 851504 896320 1064380 1703008 1792640 2128760 3406016 4257520 6812032 8515040 17030080 34060160