Search a number
-
+
34881540 = 2235678677
BaseRepresentation
bin1000010100010…
…0000000000100
32102122011110220
42011010000010
532412202130
63243344340
7602326311
oct205040004
972564426
1034881540
1118765021
12b8220b0
1372c3b85
1448bdd08
1530e0410
hex2144004

34881540 has 48 divisors (see below), whose sum is σ = 99137472. Its totient is φ = 9161856.

The previous prime is 34881527. The next prime is 34881563. The reversal of 34881540 is 4518843.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319 + ... + 8358.

It is an arithmetic number, because the mean of its divisors is an integer number (2065364).

Almost surely, 234881540 is an apocalyptic number.

34881540 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 34881540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49568736).

34881540 is an abundant number, since it is smaller than the sum of its proper divisors (64255932).

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

34881540 is a wasteful number, since it uses less digits than its factorization.

34881540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 34881540 is about 5906.0596001056. The cubic root of 34881540 is about 326.7371753026.

The spelling of 34881540 in words is "thirty-four million, eight hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 8677 17354 26031 34708 43385 52062 86770 104124 130155 173540 260310 520620 581359 1162718 1744077 2325436 2906795 3488154 5813590 6976308 8720385 11627180 17440770 34881540