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3314016 = 253237311
BaseRepresentation
bin1100101001000101100000
320020100222100
430221011200
51322022031
6155010400
740111566
oct14510540
96210870
103314016
111963962
121139a00
138c0574
14623a36
15456de6
hex329160

3314016 has 72 divisors (see below), whose sum is σ = 9710064. Its totient is φ = 1071360.

The previous prime is 3314009. The next prime is 3314027. The reversal of 3314016 is 6104133.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3314016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10501 + ... + 10811.

It is an arithmetic number, because the mean of its divisors is an integer number (134862).

Almost surely, 23314016 is an apocalyptic number.

3314016 is a gapful number since it is divisible by the number (36) 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 3314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855032).

3314016 is an abundant number, since it is smaller than the sum of its proper divisors (6396048).

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

3314016 is a wasteful number, since it uses less digits than its factorization.

3314016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3314016 is about 1820.4439019096. The cubic root of 3314016 is about 149.0910363599.

Adding to 3314016 its reverse (6104133), we get a palindrome (9418149).

The spelling of 3314016 in words is "three million, three hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 311 333 444 592 622 666 888 933 1184 1244 1332 1776 1866 2488 2664 2799 3552 3732 4976 5328 5598 7464 9952 10656 11196 11507 14928 22392 23014 29856 34521 44784 46028 69042 89568 92056 103563 138084 184112 207126 276168 368224 414252 552336 828504 1104672 1657008 3314016