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3053200 = 245217449
BaseRepresentation
bin1011101001011010010000
312202010012111
423221122100
51240200300
6145235104
734644313
oct13513220
95663174
103053200
1117a5a07
121032a94
1382b937
1459697a
154049ba
hex2e9690

3053200 has 60 divisors (see below), whose sum is σ = 7784100. Its totient is φ = 1146880.

The previous prime is 3053189. The next prime is 3053201. The reversal of 3053200 is 23503.

It can be written as a sum of positive squares in 6 ways, for example, as 11664 + 3041536 = 108^2 + 1744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3053201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6576 + ... + 7024.

It is an arithmetic number, because the mean of its divisors is an integer number (129735).

Almost surely, 23053200 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 3053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892050).

3053200 is an abundant number, since it is smaller than the sum of its proper divisors (4730900).

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

3053200 is a wasteful number, since it uses less digits than its factorization.

3053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 3053200 is about 1747.3408368146. The cubic root of 3053200 is about 145.0724964467.

Adding to 3053200 its reverse (23503), we get a palindrome (3076703).

The spelling of 3053200 in words is "three million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 449 680 850 898 1360 1700 1796 2245 3400 3592 4490 6800 7184 7633 8980 11225 15266 17960 22450 30532 35920 38165 44900 61064 76330 89800 122128 152660 179600 190825 305320 381650 610640 763300 1526600 3053200