Search a number
-
+
34668020 = 2254573793
BaseRepresentation
bin1000010000111…
…1110111110100
32102020022120202
42010033313310
532333334040
63235020032
7600446642
oct204176764
972208522
1034668020
1118629662
12b73a618
13724a92a
144866192
15309c015
hex210fdf4

34668020 has 24 divisors (see below), whose sum is σ = 72981384. Its totient is φ = 13833216.

The previous prime is 34668017. The next prime is 34668041. The reversal of 34668020 is 2086643.

It can be written as a sum of positive squares in 4 ways, for example, as 4153444 + 30514576 = 2038^2 + 5524^2 .

It is a super-2 number, since 2×346680202 = 2403743221440800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7244 + ... + 11036.

It is an arithmetic number, because the mean of its divisors is an integer number (3040891).

Almost surely, 234668020 is an apocalyptic number.

It is an amenable number.

34668020 is an abundant number, since it is smaller than the sum of its proper divisors (38313364).

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

34668020 is a wasteful number, since it uses less digits than its factorization.

34668020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 34668020 is about 5887.9555025493. The cubic root of 34668020 is about 326.0691260692.

The spelling of 34668020 in words is "thirty-four million, six hundred sixty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 457 914 1828 2285 3793 4570 7586 9140 15172 18965 37930 75860 1733401 3466802 6933604 8667005 17334010 34668020