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3055312 = 241337397
BaseRepresentation
bin1011101001111011010000
312202020002201
423221323100
51240232222
6145252544
734653421
oct13517320
95666081
103055312
1117a7557
121034154
1382c8a0
14597648
15405427
hex2e9ed0

3055312 has 40 divisors (see below), whose sum is σ = 6563816. Its totient is φ = 1368576.

The previous prime is 3055309. The next prime is 3055319. The reversal of 3055312 is 2135503.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 2322576 = 856^2 + 1524^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3055312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3055319) 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, 7498 + ... + 7894.

Almost surely, 23055312 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 3055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281908).

3055312 is an abundant number, since it is smaller than the sum of its proper divisors (3508504).

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

3055312 is a wasteful number, since it uses less digits than its factorization.

3055312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 3055312 is about 1747.9450792287. The cubic root of 3055312 is about 145.1059392272.

The spelling of 3055312 in words is "three million, fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 397 481 592 794 962 1588 1924 3176 3848 5161 6352 7696 10322 14689 20644 29378 41288 58756 82576 117512 190957 235024 381914 763828 1527656 3055312