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3326416 = 242967107
BaseRepresentation
bin1100101100000111010000
320020222222121
430230013100
51322421131
6155144024
740163002
oct14540720
96228877
103326416
111972205
121145014
138c60c2
14628372
1545a911
hex32c1d0

3326416 has 40 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 1567104.

The previous prime is 3326413. The next prime is 3326417. The reversal of 3326416 is 6146233.

It is a super-2 number, since 2×33264162 = 22130086810112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3326413) 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, 31035 + ... + 31141.

It is an arithmetic number, because the mean of its divisors is an integer number (170748).

Almost surely, 23326416 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 3326416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

3326416 is an abundant number, since it is smaller than the sum of its proper divisors (3503504).

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

3326416 is a wasteful number, since it uses less digits than its factorization.

3326416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 3326416 is about 1823.8464847678. The cubic root of 3326416 is about 149.2767554236.

It can be divided in two parts, 3326 and 416, that multiplied together give a triangular number (1383616 = T1663).

The spelling of 3326416 in words is "three million, three hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 58 67 107 116 134 214 232 268 428 464 536 856 1072 1712 1943 3103 3886 6206 7169 7772 12412 14338 15544 24824 28676 31088 49648 57352 114704 207901 415802 831604 1663208 3326416