Search a number
-
+
3362016 = 25375003
BaseRepresentation
bin1100110100110011100000
320022210211010
430310303200
51330041031
6200020520
740401540
oct14646340
96283733
103362016
111996a29
121161740
13909378
14637320
15466246
hex334ce0

3362016 has 48 divisors (see below), whose sum is σ = 10088064. Its totient is φ = 960384.

The previous prime is 3361991. The next prime is 3362017. The reversal of 3362016 is 6102633.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33620162 = 22606303168512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3361983 and 3362001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1830 + ... + 3173.

It is an arithmetic number, because the mean of its divisors is an integer number (210168).

Almost surely, 23362016 is an apocalyptic number.

It is an amenable number.

3362016 is an abundant number, since it is smaller than the sum of its proper divisors (6726048).

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

3362016 is a wasteful number, since it uses less digits than its factorization.

3362016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3362016 is about 1833.5801046041. The cubic root of 3362016 is about 149.8073972448.

Adding to 3362016 its reverse (6102633), we get a palindrome (9464649).

The spelling of 3362016 in words is "three million, three hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5003 10006 15009 20012 30018 35021 40024 60036 70042 80048 105063 120072 140084 160096 210126 240144 280168 420252 480288 560336 840504 1120672 1681008 3362016