Search a number
-
+
3336606 = 233721397
BaseRepresentation
bin1100101110100110011110
320021111222000
430232212132
51323232411
6155303130
740234500
oct14564636
96244860
103336606
111979929
12114aaa6
138ca930
1462bd70
1545d956
hex32e99e

3336606 has 96 divisors (see below), whose sum is σ = 9384480. Its totient is φ = 870912.

The previous prime is 3336601. The next prime is 3336617. The reversal of 3336606 is 6066333.

It is a super-2 number, since 2×33366062 = 22265879198472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3336606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3336601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34350 + ... + 34446.

It is an arithmetic number, because the mean of its divisors is an integer number (97755).

Almost surely, 23336606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3336606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692240).

3336606 is an abundant number, since it is smaller than the sum of its proper divisors (6047874).

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

3336606 is a wasteful number, since it uses less digits than its factorization.

3336606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3336606 is about 1826.6378951505. The cubic root of 3336606 is about 149.4290293746.

The spelling of 3336606 in words is "three million, three hundred thirty-six thousand, six hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 97 98 117 126 147 182 189 194 234 273 291 294 351 378 441 546 582 637 679 702 819 873 882 1261 1274 1323 1358 1638 1746 1911 2037 2457 2522 2619 2646 3783 3822 4074 4753 4914 5238 5733 6111 7566 8827 9506 11349 11466 12222 14259 17199 17654 18333 22698 26481 28518 34047 34398 36666 42777 52962 61789 68094 79443 85554 123578 128331 158886 185367 238329 256662 370734 476658 556101 1112202 1668303 3336606