Search a number
-
+
300029328 = 243217122561
BaseRepresentation
bin10001111000100…
…001010110010000
3202220120001212100
4101320201112100
51103301414303
645434400400
710302131034
oct2170412620
9686501770
10300029328
111443a4525
1284590100
134a20b261
142bbc01c4
151b5178a3
hex11e21590

300029328 has 60 divisors (see below), whose sum is σ = 889064748. Its totient is φ = 94126080.

The previous prime is 300029309. The next prime is 300029357. The reversal of 300029328 is 823920003.

It can be written as a sum of positive squares in 2 ways, for example, as 247495824 + 52533504 = 15732^2 + 7248^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 58833 + ... + 63728.

Almost surely, 2300029328 is an apocalyptic number.

It is an amenable number.

300029328 is an abundant number, since it is smaller than the sum of its proper divisors (589035420).

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

300029328 is a wasteful number, since it uses less digits than its factorization.

300029328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122592 (or 122583 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 300029328 is about 17321.3546814330. The cubic root of 300029328 is about 669.4547639597.

The spelling of 300029328 in words is "three hundred million, twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 122561 245122 367683 490244 735366 980488 1103049 1470732 1960976 2083537 2206098 2941464 4167074 4412196 5882928 6250611 8334148 8824392 12501222 16668296 17648784 18751833 25002444 33336592 37503666 50004888 75007332 100009776 150014664 300029328