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303324420 = 223574011801
BaseRepresentation
bin10010000101000…
…101110100000100
3210010202110212210
4102011011310010
51110122340140
650033143420
710342133520
oct2205056404
9703673783
10303324420
11146245143
12856bab70
134aac3009
142c3dad80
151b968d80
hex12145d04

303324420 has 96 divisors (see below), whose sum is σ = 973598976. Its totient is φ = 69120000.

The previous prime is 303324419. The next prime is 303324433. The reversal of 303324420 is 24423303.

303324420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167520 + ... + 169320.

It is an arithmetic number, because the mean of its divisors is an integer number (10141656).

Almost surely, 2303324420 is an apocalyptic number.

303324420 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 303324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486799488).

303324420 is an abundant number, since it is smaller than the sum of its proper divisors (670274556).

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

303324420 is a wasteful number, since it uses less digits than its factorization.

303324420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 303324420 is about 17416.2114135078. The cubic root of 303324420 is about 671.8966234829.

Adding to 303324420 its reverse (24423303), we get a palindrome (327747723).

The spelling of 303324420 in words is "three hundred three million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 401 420 802 1203 1604 1801 2005 2406 2807 3602 4010 4812 5403 5614 6015 7204 8020 8421 9005 10806 11228 12030 12607 14035 16842 18010 21612 24060 25214 27015 28070 33684 36020 37821 42105 50428 54030 56140 63035 75642 84210 108060 126070 151284 168420 189105 252140 378210 722201 756420 1444402 2166603 2888804 3611005 4333206 5055407 7222010 8666412 10110814 10833015 14444020 15166221 20221628 21666030 25277035 30332442 43332060 50554070 60664884 75831105 101108140 151662210 303324420