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3123328 = 27131877
BaseRepresentation
bin1011111010100010000000
312212200101211
423322202000
51244421303
6150535504
735355625
oct13724200
95780354
103123328
11184366a
121067594
13854830
145b434c
1541a66d
hex2fa880

3123328 has 32 divisors (see below), whose sum is σ = 6704460. Its totient is φ = 1440768.

The previous prime is 3123317. The next prime is 3123349. The reversal of 3123328 is 8233213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 53824 = 1752^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 3123299 and 3123308.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 726 + ... + 2602.

Almost surely, 23123328 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 3123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352230).

3123328 is an abundant number, since it is smaller than the sum of its proper divisors (3581132).

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

3123328 is a wasteful number, since it uses less digits than its factorization.

3123328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1892 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 3123328 is about 1767.2939766773. The cubic root of 3123328 is about 146.1748078181.

The spelling of 3123328 in words is "three million, one hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 1877 3754 7508 15016 24401 30032 48802 60064 97604 120128 195208 240256 390416 780832 1561664 3123328