Search a number
-
+
34343022 = 2372199587
BaseRepresentation
bin1000001100000…
…0100001101110
32101121210202210
42003000201232
532242434042
63224031250
7564624300
oct203004156
971553683
1034343022
111842746a
12b602526
137165a1c
1447bd970
153035a9c
hex20c086e

34343022 has 48 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 9746352.

The previous prime is 34343021. The next prime is 34343033. The reversal of 34343022 is 22034343.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 34343022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58213 + ... + 58799.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 234343022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34343022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

34343022 is an abundant number, since it is smaller than the sum of its proper divisors (46095378).

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

34343022 is a wasteful number, since it uses less digits than its factorization.

34343022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 34343022 is about 5860.2919722485. The cubic root of 34343022 is about 325.0470054300.

Adding to 34343022 its reverse (22034343), we get a palindrome (56377365).

It can be divided in two parts, 343 and 43022, that added together give a triangular number (43365 = T294).

The spelling of 34343022 in words is "thirty-four million, three hundred forty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 199 294 398 587 597 1174 1194 1393 1761 2786 3522 4109 4179 8218 8358 9751 12327 19502 24654 28763 29253 57526 58506 86289 116813 172578 233626 350439 700878 817691 1635382 2453073 4906146 5723837 11447674 17171511 34343022