Search a number
-
+
34145220 = 22351274481
BaseRepresentation
bin1000001001000…
…0001111000100
32101020202102210
42002100033010
532220121340
63215503420
7563141514
oct202201704
971222383
1034145220
111830189a
12b527b70
1370c6995
14476b844
152ee7180
hex20903c4

34145220 has 48 divisors (see below), whose sum is σ = 96380928. Its totient is φ = 9031680.

The previous prime is 34145207. The next prime is 34145227. The reversal of 34145220 is 2254143.

It is not an unprimeable number, because it can be changed into a prime (34145227) 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, 5380 + ... + 9860.

It is an arithmetic number, because the mean of its divisors is an integer number (2007936).

Almost surely, 234145220 is an apocalyptic number.

34145220 is a gapful number since it is divisible by the number (30) 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 34145220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48190464).

34145220 is an abundant number, since it is smaller than the sum of its proper divisors (62235708).

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

34145220 is a wasteful number, since it uses less digits than its factorization.

34145220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4618 counting only the distinct ones).

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

The square root of 34145220 is about 5843.3911387139. The cubic root of 34145220 is about 324.4217568040.

Adding to 34145220 its reverse (2254143), we get a palindrome (36399363).

The spelling of 34145220 in words is "thirty-four million, one hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 4481 7620 8962 13443 17924 22405 26886 44810 53772 67215 89620 134430 268860 569087 1138174 1707261 2276348 2845435 3414522 5690870 6829044 8536305 11381740 17072610 34145220