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300075040 = 25531101599
BaseRepresentation
bin10001111000101…
…100100000100000
3202220122101120101
4101320230200200
51103304400130
645435352144
710302411226
oct2170544040
9686571511
10300075040
11144425901
12845b2654
134a225cc5
142bbd2b16
151b5261ca
hex11e2c820

300075040 has 96 divisors (see below), whose sum is σ = 740275200. Its totient is φ = 114816000.

The previous prime is 300075031. The next prime is 300075047. The reversal of 300075040 is 40570003.

It is a junction number, because it is equal to n+sod(n) for n = 300074999 and 300075017.

It is not an unprimeable number, because it can be changed into a prime (300075047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500661 + ... + 501259.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2300075040 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 300075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

300075040 is an abundant number, since it is smaller than the sum of its proper divisors (440200160).

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

300075040 is a wasteful number, since it uses less digits than its factorization.

300075040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 300075040 is about 17322.6741584549. The cubic root of 300075040 is about 669.4887612608.

The spelling of 300075040 in words is "three hundred million, seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 101 124 155 160 202 248 310 404 496 505 599 620 808 992 1010 1198 1240 1616 2020 2396 2480 2995 3131 3232 4040 4792 4960 5990 6262 8080 9584 11980 12524 15655 16160 18569 19168 23960 25048 31310 37138 47920 50096 60499 62620 74276 92845 95840 100192 120998 125240 148552 185690 241996 250480 297104 302495 371380 483992 500960 594208 604990 742760 967984 1209980 1485520 1875469 1935968 2419960 2971040 3750938 4839920 7501876 9377345 9679840 15003752 18754690 30007504 37509380 60015008 75018760 150037520 300075040