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3499164 = 223237271
BaseRepresentation
bin1101010110010010011100
320120202221200
431112102130
51343433124
6202555500
741512434
oct15262234
96522850
103499164
111a7aa79
121208b90
13956916
146712c4
15491bc9
hex35649c

3499164 has 54 divisors (see below), whose sum is σ = 9218664. Its totient is φ = 1118880.

The previous prime is 3499163. The next prime is 3499183. The reversal of 3499164 is 4619943.

3499164 is a `hidden beast` number, since 3 + 499 + 164 = 666.

3499164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (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 (3499163) 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 17 ways as a sum of consecutive naturals, for example, 49249 + ... + 49319.

It is an arithmetic number, because the mean of its divisors is an integer number (170716).

Almost surely, 23499164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3499164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609332).

3499164 is an abundant number, since it is smaller than the sum of its proper divisors (5719500).

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

3499164 is a wasteful number, since it uses less digits than its factorization.

3499164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3499164 is about 1870.6052496452. The cubic root of 3499164 is about 151.8173591151.

It can be divided in two parts, 3499 and 164, that added together give a palindrome (3663).

The spelling of 3499164 in words is "three million, four hundred ninety-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 71 74 111 142 148 213 222 284 333 426 444 639 666 852 1278 1332 1369 2556 2627 2738 4107 5254 5476 7881 8214 10508 12321 15762 16428 23643 24642 31524 47286 49284 94572 97199 194398 291597 388796 583194 874791 1166388 1749582 3499164