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300412420 = 2257111910267
BaseRepresentation
bin10001111001111…
…110111000000100
3202221021112100221
4101321332320010
51103401144140
645450514124
710305314650
oct2171767004
9687245327
10300412420
11144636330
1284735944
134a313739
142bc7da60
151b59114a
hex11e7ee04

300412420 has 96 divisors (see below), whose sum is σ = 828011520. Its totient is φ = 88698240.

The previous prime is 300412417. The next prime is 300412429. The reversal of 300412420 is 24214003.

It is a junction number, because it is equal to n+sod(n) for n = 300412394 and 300412403.

It is not an unprimeable number, because it can be changed into a prime (300412429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24127 + ... + 34393.

It is an arithmetic number, because the mean of its divisors is an integer number (8625120).

Almost surely, 2300412420 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 300412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414005760).

300412420 is an abundant number, since it is smaller than the sum of its proper divisors (527599100).

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

300412420 is a wasteful number, since it uses less digits than its factorization.

300412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 300412420 is about 17332.4095266642. The cubic root of 300412420 is about 669.7395735469.

Adding to 300412420 its reverse (24214003), we get a palindrome (324626423).

The spelling of 300412420 in words is "three hundred million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 10267 14630 20534 29260 41068 51335 71869 102670 112937 143738 195073 205340 225874 287476 359345 390146 451748 564685 718690 780292 790559 975365 1129370 1365511 1437380 1581118 1950730 2145803 2258740 2731022 3162236 3901460 3952795 4291606 5462044 6827555 7905590 8583212 10729015 13655110 15020621 15811180 21458030 27310220 30041242 42916060 60082484 75103105 150206210 300412420