Search a number
-
+
34540242 = 23116773107
BaseRepresentation
bin1000001111000…
…0101011010010
32101222211022020
42003300223102
532320241432
63232152310
7566405262
oct203605322
971884266
1034540242
1118551660
12b698696
137204719
1448317a2
15307422c
hex20f0ad2

34540242 has 64 divisors (see below), whose sum is σ = 78257664. Its totient is φ = 10074240.

The previous prime is 34540241. The next prime is 34540279. The reversal of 34540242 is 24204543.

It is not an unprimeable number, because it can be changed into a prime (34540241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322753 + ... + 322859.

It is an arithmetic number, because the mean of its divisors is an integer number (1222776).

Almost surely, 234540242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34540242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39128832).

34540242 is an abundant number, since it is smaller than the sum of its proper divisors (43717422).

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

34540242 is a wasteful number, since it uses less digits than its factorization.

34540242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 34540242 is about 5877.0946904061. The cubic root of 34540242 is about 325.6680287056.

Adding to 34540242 its reverse (24204543), we get a palindrome (58744785).

The spelling of 34540242 in words is "thirty-four million, five hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 67 73 107 134 146 201 214 219 321 402 438 642 737 803 1177 1474 1606 2211 2354 2409 3531 4422 4818 4891 7062 7169 7811 9782 14338 14673 15622 21507 23433 29346 43014 46866 53801 78859 85921 107602 157718 161403 171842 236577 257763 322806 473154 515526 523337 1046674 1570011 3140022 5756707 11513414 17270121 34540242