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300104240 = 245191791103
BaseRepresentation
bin10001111000110…
…011101000110000
3202220200212121212
4101320303220300
51103311313430
645440135252
710302562322
oct2170635060
9686625555
10300104240
11144445837
1284607528
134a236397
142bbdd612
151b52eb95
hex11e33a30

300104240 has 80 divisors (see below), whose sum is σ = 739238400. Its totient is φ = 112985856.

The previous prime is 300104239. The next prime is 300104249. The reversal of 300104240 is 42401003.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (300104249) 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 15 ways as a sum of consecutive naturals, for example, 271529 + ... + 272631.

It is an arithmetic number, because the mean of its divisors is an integer number (9240480).

Almost surely, 2300104240 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 300104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369619200).

300104240 is an abundant number, since it is smaller than the sum of its proper divisors (439134160).

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

300104240 is a wasteful number, since it uses less digits than its factorization.

300104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 300104240 is about 17323.5169639424. The cubic root of 300104240 is about 669.5104763155.

Adding to 300104240 its reverse (42401003), we get a palindrome (342505243).

The spelling of 300104240 in words is "three hundred million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 179 190 304 358 380 716 760 895 1103 1432 1520 1790 2206 2864 3401 3580 4412 5515 6802 7160 8824 11030 13604 14320 17005 17648 20957 22060 27208 34010 41914 44120 54416 68020 83828 88240 104785 136040 167656 197437 209570 272080 335312 394874 419140 789748 838280 987185 1579496 1676560 1974370 3158992 3751303 3948740 7502606 7897480 15005212 15794960 18756515 30010424 37513030 60020848 75026060 150052120 300104240