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3306072 = 2337111789
BaseRepresentation
bin1100100111001001011000
320012222002010
430213021120
51321243242
6154505520
740046460
oct14471130
96188063
103306072
1119589a0
1211352a0
138b9a73
14620ba0
1545489c
hex327258

3306072 has 64 divisors (see below), whose sum is σ = 10310400. Its totient is φ = 858240.

The previous prime is 3306059. The next prime is 3306091. The reversal of 3306072 is 2706033.

It is a super-2 number, since 2×33060722 = 21860224138368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954 + ... + 2742.

It is an arithmetic number, because the mean of its divisors is an integer number (161100).

Almost surely, 23306072 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 3306072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155200).

3306072 is an abundant number, since it is smaller than the sum of its proper divisors (7004328).

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

3306072 is a wasteful number, since it uses less digits than its factorization.

3306072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 3306072 is about 1818.2607073794. The cubic root of 3306072 is about 148.9718127543.

The spelling of 3306072 in words is "three million, three hundred six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1789 1848 3578 5367 7156 10734 12523 14312 19679 21468 25046 37569 39358 42936 50092 59037 75138 78716 100184 118074 137753 150276 157432 236148 275506 300552 413259 472296 551012 826518 1102024 1653036 3306072