Search a number
-
+
34542120 = 2335287851
BaseRepresentation
bin1000001111000…
…1001000101000
32101222220212210
42003301020220
532320321440
63232205120
7566413614
oct203611050
971886783
1034542120
1118553008
12b6997a0
137205532
144832344
153074a80
hex20f1228

34542120 has 32 divisors (see below), whose sum is σ = 103626720. Its totient is φ = 9211200.

The previous prime is 34542119. The next prime is 34542143. The reversal of 34542120 is 2124543.

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, 143806 + ... + 144045.

It is an arithmetic number, because the mean of its divisors is an integer number (3238335).

Almost surely, 234542120 is an apocalyptic number.

34542120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34542120 is an abundant number, since it is smaller than the sum of its proper divisors (69084600).

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

34542120 is a wasteful number, since it uses less digits than its factorization.

34542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287865 (or 287861 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 34542120 is about 5877.2544610558. The cubic root of 34542120 is about 325.6739309367.

Adding to 34542120 its reverse (2124543), we get a palindrome (36666663).

The spelling of 34542120 in words is "thirty-four million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 287851 575702 863553 1151404 1439255 1727106 2302808 2878510 3454212 4317765 5757020 6908424 8635530 11514040 17271060 34542120