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300389076 = 2232132922133
BaseRepresentation
bin10001111001111…
…001001011010100
3202221020100100100
4101321321023110
51103344422301
645450214100
710305156621
oct2171711324
9687210310
10300389076
1114461a839
1284724330
134a305c20
142bc75348
151b589286
hex11e792d4

300389076 has 72 divisors (see below), whose sum is σ = 845961480. Its totient is φ = 89236224.

The previous prime is 300389057. The next prime is 300389081. The reversal of 300389076 is 670983003.

It can be written as a sum of positive squares in 4 ways, for example, as 12068676 + 288320400 = 3474^2 + 16980^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 300389076.

It is a congruent number.

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, 2506 + ... + 24638.

It is an arithmetic number, because the mean of its divisors is an integer number (11749465).

Almost surely, 2300389076 is an apocalyptic number.

300389076 is a gapful number since it is divisible by the number (36) 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 300389076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422980740).

300389076 is an abundant number, since it is smaller than the sum of its proper divisors (545572404).

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

300389076 is a wasteful number, since it uses less digits than its factorization.

300389076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22185 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 300389076 is about 17331.7360930750. The cubic root of 300389076 is about 669.7222253898.

It can be divided in two parts, 300 and 389076, that added together give a square (389376 = 6242).

The spelling of 300389076 in words is "three hundred million, three hundred eighty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 22133 44266 66399 88532 132798 199197 265596 287729 398394 575458 641857 796788 863187 1150916 1283714 1726374 1925571 2567428 2589561 3452748 3851142 5179122 5776713 7702284 8344141 10358244 11553426 16688282 23106852 25032423 33376564 50064846 75097269 100129692 150194538 300389076