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300321420 = 223571494799
BaseRepresentation
bin10001111001101…
…000101010001100
3202221002220112120
4101321220222030
51103340241140
645444532540
710304455440
oct2171505214
9687086476
10300321420
11144583a23
12846b1150
134a2b11a9
142bc58820
151b5741d0
hex11e68a8c

300321420 has 96 divisors (see below), whose sum is σ = 967680000. Its totient is φ = 68169984.

The previous prime is 300321377. The next prime is 300321421. The reversal of 300321420 is 24123003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 300321420.

It is not an unprimeable number, because it can be changed into a prime (300321421) 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, 60181 + ... + 64979.

It is an arithmetic number, because the mean of its divisors is an integer number (10080000).

Almost surely, 2300321420 is an apocalyptic number.

300321420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840000).

300321420 is an abundant number, since it is smaller than the sum of its proper divisors (667358580).

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

300321420 is a wasteful number, since it uses less digits than its factorization.

300321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 300321420 is about 17329.7841879234. The cubic root of 300321420 is about 669.6719415716.

Adding to 300321420 its reverse (24123003), we get a palindrome (324444423).

The spelling of 300321420 in words is "three hundred million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 149 210 298 420 447 596 745 894 1043 1490 1788 2086 2235 2980 3129 4172 4470 4799 5215 6258 8940 9598 10430 12516 14397 15645 19196 20860 23995 28794 31290 33593 47990 57588 62580 67186 71985 95980 100779 134372 143970 167965 201558 287940 335930 403116 503895 671860 715051 1007790 1430102 2015580 2145153 2860204 3575255 4290306 5005357 7150510 8580612 10010714 10725765 14301020 15016071 20021428 21451530 25026785 30032142 42903060 50053570 60064284 75080355 100107140 150160710 300321420