Search a number
-
+
34047020 = 22571571549
BaseRepresentation
bin1000000111100…
…0010000101100
32101001202201202
42001320100230
532204001040
63213425032
7562252310
oct201702054
971052652
1034047020
1118245037
12b49b178
137091087
144743b40
152ec8015
hex207842c

34047020 has 48 divisors (see below), whose sum is σ = 82286400. Its totient is φ = 11591424.

The previous prime is 34047019. The next prime is 34047037. The reversal of 34047020 is 2074043.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 34046983 and 34047001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21206 + ... + 22754.

It is an arithmetic number, because the mean of its divisors is an integer number (1714300).

Almost surely, 234047020 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 34047020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41143200).

34047020 is an abundant number, since it is smaller than the sum of its proper divisors (48239380).

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

34047020 is a wasteful number, since it uses less digits than its factorization.

34047020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 34047020 is about 5834.9824335640. The cubic root of 34047020 is about 324.1104510898.

The spelling of 34047020 in words is "thirty-four million, forty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 628 785 1099 1549 1570 2198 3098 3140 4396 5495 6196 7745 10843 10990 15490 21686 21980 30980 43372 54215 108430 216860 243193 486386 972772 1215965 1702351 2431930 3404702 4863860 6809404 8511755 17023510 34047020