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3306320 = 245371117
BaseRepresentation
bin1100100111001101010000
320012222102022
430213031100
51321300240
6154511012
740050263
oct14471520
96188368
103306320
1119590a6
121135468
138b9c04
14620cda
154549b5
hex327350

3306320 has 40 divisors (see below), whose sum is σ = 7902024. Its totient is φ = 1285632.

The previous prime is 3306293. The next prime is 3306341. The reversal of 3306320 is 236033.

It can be written as a sum of positive squares in 4 ways, for example, as 222784 + 3083536 = 472^2 + 1756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2402 + ... + 3518.

Almost surely, 23306320 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 3306320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951012).

3306320 is an abundant number, since it is smaller than the sum of its proper divisors (4595704).

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

3306320 is a wasteful number, since it uses less digits than its factorization.

3306320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 3306320 is about 1818.3289031416. The cubic root of 3306320 is about 148.9755376263.

The spelling of 3306320 in words is "three million, three hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1117 1480 2234 2960 4468 5585 8936 11170 17872 22340 41329 44680 82658 89360 165316 206645 330632 413290 661264 826580 1653160 3306320