Search a number
-
+
34311636 = 22328910709
BaseRepresentation
bin1000001011100…
…0110111010100
32101120012201100
42002320313110
532240433021
63223230100
7564433632
oct202706724
971505640
1034311636
1118405927
12b5a8330
137154658
1447b2352
15302b626
hex20b8dd4

34311636 has 36 divisors (see below), whose sum is σ = 87714900. Its totient is φ = 11307648.

The previous prime is 34311631. The next prime is 34311649. The reversal of 34311636 is 63611343.

It can be written as a sum of positive squares in 2 ways, for example, as 21566736 + 12744900 = 4644^2 + 3570^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34311631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2151 + ... + 8558.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 234311636 is an apocalyptic number.

34311636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34311636 is an abundant number, since it is smaller than the sum of its proper divisors (53403264).

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

34311636 is a wasteful number, since it uses less digits than its factorization.

34311636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10808 (or 10803 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 34311636 is about 5857.6135072229. The cubic root of 34311636 is about 324.9479553742.

Adding to 34311636 its reverse (63611343), we get a palindrome (97922979).

The spelling of 34311636 in words is "thirty-four million, three hundred eleven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 10709 21418 32127 42836 64254 96381 128508 192762 385524 953101 1906202 2859303 3812404 5718606 8577909 11437212 17155818 34311636