Search a number
-
+
34020420 = 2235781001
BaseRepresentation
bin1000000111000…
…1110001000100
32101000102020120
42001301301010
532202123140
63213101540
7562111620
oct201616104
971012216
1034020420
1118227055
12b4878b0
137081c35
144738180
152ec01d0
hex2071c44

34020420 has 48 divisors (see below), whose sum is σ = 108866688. Its totient is φ = 7776000.

The previous prime is 34020419. The next prime is 34020421. The reversal of 34020420 is 2402043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34020419) and next prime (34020421).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34020420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40081 + ... + 40920.

It is an arithmetic number, because the mean of its divisors is an integer number (2268056).

Almost surely, 234020420 is an apocalyptic number.

34020420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34020420 is an abundant number, since it is smaller than the sum of its proper divisors (74846268).

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

34020420 is a wasteful number, since it uses less digits than its factorization.

34020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81020 (or 81018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34020420 is about 5832.7026325709. The cubic root of 34020420 is about 324.0260229060.

Adding to 34020420 its reverse (2402043), we get a palindrome (36422463).

It can be divided in two parts, 34020 and 420, that multiplied together give a square (14288400 = 37802).

The spelling of 34020420 in words is "thirty-four million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 81001 162002 243003 324004 405005 486006 567007 810010 972012 1134014 1215015 1620020 1701021 2268028 2430030 2835035 3402042 4860060 5670070 6804084 8505105 11340140 17010210 34020420