Search a number
-
+
300811392 = 273272732
BaseRepresentation
bin10001111011100…
…000010010000000
3202222000210122200
4101323200102000
51104001431032
645503233200
710311566100
oct2173402200
9688023580
10300811392
11144889062
12848a8800
134a42320b
142bd45200
151b61e47c
hex11ee0480

300811392 has 216 divisors, whose sum is σ = 1020923865. Its totient is φ = 84768768.

The previous prime is 300811387. The next prime is 300811409. The reversal of 300811392 is 293118003.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 299428416 + 1382976 = 17304^2 + 1176^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12264.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4120668 + ... + 4120740.

Almost surely, 2300811392 is an apocalyptic number.

300811392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300811392

300811392 is an abundant number, since it is smaller than the sum of its proper divisors (720112473).

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

300811392 is an equidigital number, since it uses as much as digits as its factorization.

300811392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 300811392 is about 17343.9151289436. The cubic root of 300811392 is about 670.0359318370.

Adding to 300811392 its reverse (293118003), we get a palindrome (593929395).

It can be divided in two parts, 3008 and 11392, that added together give a square (14400 = 1202).

The spelling of 300811392 in words is "three hundred million, eight hundred eleven thousand, three hundred ninety-two".