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300113320 = 235132332477
BaseRepresentation
bin10001111000110…
…101110110101000
3202220201100002011
4101320311312220
51103312111240
645440245304
710302630643
oct2170656650
9686640064
10300113320
11144451641
1284610834
134a23a560
142bc02a5a
151b5326ea
hex11e35da8

300113320 has 64 divisors (see below), whose sum is σ = 730613520. Its totient is φ = 110290944.

The previous prime is 300113243. The next prime is 300113413. The reversal of 300113320 is 23311003.

It can be written as a sum of positive squares in 8 ways, for example, as 37478884 + 262634436 = 6122^2 + 16206^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 300113320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119922 + ... + 122398.

Almost surely, 2300113320 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 300113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365306760).

300113320 is an abundant number, since it is smaller than the sum of its proper divisors (430500200).

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

300113320 is a wasteful number, since it uses less digits than its factorization.

300113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 300113320 is about 17323.7790334557. The cubic root of 300113320 is about 669.5172285180.

Adding to 300113320 its reverse (23311003), we get a palindrome (323424323).

The spelling of 300113320 in words is "three hundred million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 233 260 466 520 932 1165 1864 2330 2477 3029 4660 4954 6058 9320 9908 12116 12385 15145 19816 24232 24770 30290 32201 49540 60580 64402 99080 121160 128804 161005 257608 322010 577141 644020 1154282 1288040 2308564 2885705 4617128 5771410 7502833 11542820 15005666 23085640 30011332 37514165 60022664 75028330 150056660 300113320