Search a number
-
+
34371228 = 22319233647
BaseRepresentation
bin1000001100011…
…1011010011100
32101200020110110
42003013122130
532244334403
63224410020
7565102443
oct203073234
971606413
1034371228
1118446681
12b616910
137175808
1447c9d5a
15303e103
hex20c769c

34371228 has 48 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 10790784.

The previous prime is 34371221. The next prime is 34371251. The reversal of 34371228 is 82217343.

It is a junction number, because it is equal to n+sod(n) for n = 34371195 and 34371204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34371221) 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, 52801 + ... + 53447.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 234371228 is an apocalyptic number.

34371228 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34371228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

34371228 is an abundant number, since it is smaller than the sum of its proper divisors (50542692).

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

34371228 is a wasteful number, since it uses less digits than its factorization.

34371228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 904 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 34371228 is about 5862.6980137135. The cubic root of 34371228 is about 325.1359683543.

The spelling of 34371228 in words is "thirty-four million, three hundred seventy-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 233 466 647 699 932 1294 1398 1941 2588 2796 3882 4427 7764 8854 12293 13281 17708 24586 26562 36879 49172 53124 73758 147516 150751 301502 452253 603004 904506 1809012 2864269 5728538 8592807 11457076 17185614 34371228