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300199240 = 2351119149241
BaseRepresentation
bin10001111001001…
…010110101001000
3202220212200221101
4101321022311020
51103322333430
645442151144
710303436305
oct2171126510
9686780841
10300199240
11144500150
12846524b4
134a26a6b3
142bc260ac
151b54cdca
hex11e4ad48

300199240 has 128 divisors (see below), whose sum is σ = 784080000. Its totient is φ = 102297600.

The previous prime is 300199201. The next prime is 300199247. The reversal of 300199240 is 42991003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 300199199 and 300199208.

It is not an unprimeable number, because it can be changed into a prime (300199247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245520 + ... + 1245760.

It is an arithmetic number, because the mean of its divisors is an integer number (6125625).

Almost surely, 2300199240 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 300199240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392040000).

300199240 is an abundant number, since it is smaller than the sum of its proper divisors (483880760).

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

300199240 is a wasteful number, since it uses less digits than its factorization.

300199240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 300199240 is about 17326.2586844362. The cubic root of 300199240 is about 669.5811148655.

The spelling of 300199240 in words is "three hundred million, one hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 149 152 190 209 220 241 298 380 418 440 482 596 745 760 836 964 1045 1192 1205 1490 1639 1672 1928 2090 2410 2651 2831 2980 3278 4180 4579 4820 5302 5662 5960 6556 8195 8360 9158 9640 10604 11324 13112 13255 14155 16390 18316 21208 22648 22895 26510 28310 31141 32780 35909 36632 45790 50369 53020 56620 62282 65560 71818 91580 100738 106040 113240 124564 143636 155705 179545 183160 201476 249128 251845 287272 311410 359090 394999 402952 503690 622820 682271 718180 789998 1007380 1245640 1364542 1436360 1579996 1974995 2014760 2729084 3159992 3411355 3949990 5458168 6822710 7504981 7899980 13645420 15009962 15799960 27290840 30019924 37524905 60039848 75049810 150099620 300199240