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300430314 = 232291374201
BaseRepresentation
bin10001111010000…
…011001111101010
3202221022102220200
4101322003033222
51103402232224
645451133030
710305421062
oct2172031752
9687272820
10300430314
11144648818
1284744176
134a31b922
142bc863a2
151b5965c9
hex11e833ea

300430314 has 48 divisors (see below), whose sum is σ = 678454920. Its totient is φ = 95961600.

The previous prime is 300430303. The next prime is 300430321. The reversal of 300430314 is 413034003.

It can be written as a sum of positive squares in 4 ways, for example, as 202123089 + 98307225 = 14217^2 + 9915^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69414 + ... + 73614.

Almost surely, 2300430314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300430314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339227460).

300430314 is an abundant number, since it is smaller than the sum of its proper divisors (378024606).

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

300430314 is a wasteful number, since it uses less digits than its factorization.

300430314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 300430314 is about 17332.9257195662. The cubic root of 300430314 is about 669.7528709132.

Adding to 300430314 its reverse (413034003), we get a palindrome (713464317).

The spelling of 300430314 in words is "three hundred million, four hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 137 174 261 274 411 522 822 1233 2466 3973 4201 7946 8402 11919 12603 23838 25206 35757 37809 71514 75618 121829 243658 365487 575537 730974 1096461 1151074 1726611 2192922 3453222 5179833 10359666 16690573 33381146 50071719 100143438 150215157 300430314