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300953104 = 2443372
BaseRepresentation
bin10001111100000…
…010111000010000
3202222022000001021
4101330002320100
51104020444404
645510245224
710313026204
oct2174027020
9688260037
10300953104
11144975581
1284956814
134a47287a
142bd80b04
151b64b454
hex11f02e10

300953104 has 15 divisors (see below), whose sum is σ = 583231117. Its totient is φ = 150441856.

The previous prime is 300953101. The next prime is 300953111. The reversal of 300953104 is 401359003.

The square root of 300953104 is 17348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3459600 + 297493504 = 1860^2 + 17248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (300953101) 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 2 ways as a sum of consecutive naturals, for example, 67224 + ... + 71560.

Almost surely, 2300953104 is an apocalyptic number.

300953104 is the 17348-th square number.

It is an amenable number.

300953104 is a deficient number, since it is larger than the sum of its proper divisors (282278013).

300953104 is an frugal number, since it uses more digits than its factorization.

300953104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The cubic root of 300953104 is about 670.1411331112.

Multiplying 300953104 by its sum of digits (25), we get a square (7523827600 = 867402).

The spelling of 300953104 in words is "three hundred million, nine hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 4337 8674 17348 34696 69392 18809569 37619138 75238276 150476552 300953104