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3038292 = 2232372281
BaseRepresentation
bin1011100101110001010100
312201100202100
423211301110
51234211132
6145042100
734552665
oct13456124
95640670
103038292
111795794
121026330
13824c0a
1459136c
1540037c
hex2e5c54

3038292 has 36 divisors (see below), whose sum is σ = 7891156. Its totient is φ = 984960.

The previous prime is 3038281. The next prime is 3038293. The reversal of 3038292 is 2928303.

3038292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 715716 = 1524^2 + 846^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3038293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192 + ... + 2472.

Almost surely, 23038292 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 3038292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945578).

3038292 is an abundant number, since it is smaller than the sum of its proper divisors (4852864).

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

3038292 is a wasteful number, since it uses less digits than its factorization.

3038292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3038292 is about 1743.0697060072. The cubic root of 3038292 is about 144.8359937179.

The spelling of 3038292 in words is "three million, thirty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2281 4562 6843 9124 13686 20529 27372 41058 82116 84397 168794 253191 337588 506382 759573 1012764 1519146 3038292