Search a number
-
+
34542354 = 2372112971
BaseRepresentation
bin1000001111000…
…1001100010010
32101222221012110
42003301030102
532320323404
63232210150
7566414400
oct203611422
971887173
1034542354
1118553200
12b699956
137205682
144832470
153074b89
hex20f1312

34542354 has 72 divisors (see below), whose sum is σ = 88424784. Its totient is φ = 8962800.

The previous prime is 34542353. The next prime is 34542371. The reversal of 34542354 is 45324543.

It is a super-2 number, since 2×345423542 = 2386348439722632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34542353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35089 + ... + 36059.

It is an arithmetic number, because the mean of its divisors is an integer number (1228122).

Almost surely, 234542354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34542354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44212392).

34542354 is an abundant number, since it is smaller than the sum of its proper divisors (53882430).

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

34542354 is a wasteful number, since it uses less digits than its factorization.

34542354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 994 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 34542354 is about 5877.2743682765. The cubic root of 34542354 is about 325.6746663435.

Adding to 34542354 its reverse (45324543), we get a palindrome (79866897).

The spelling of 34542354 in words is "thirty-four million, five hundred forty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 971 1078 1617 1694 1942 2541 2913 3234 5082 5826 5929 6797 10681 11858 13594 17787 20391 21362 32043 35574 40782 47579 64086 74767 95158 117491 142737 149534 224301 234982 285474 352473 448602 523369 704946 822437 1046738 1570107 1644874 2467311 3140214 4934622 5757059 11514118 17271177 34542354