Search a number
-
+
301424020 = 225149101149
BaseRepresentation
bin10001111101110…
…101110110010100
3210000011221000121
4101331311312110
51104131032040
645524321324
710320030142
oct2175656624
9700157017
10301424020
11145167367
1284b43244
134a5a9011
142c064592
151b6e0c4a
hex11f75d94

301424020 has 24 divisors (see below), whose sum is σ = 637245000. Its totient is φ = 119759232.

The previous prime is 301424017. The next prime is 301424033. The reversal of 301424020 is 20424103.

It can be written as a sum of positive squares in 4 ways, for example, as 64448784 + 236975236 = 8028^2 + 15394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 301423985 and 301424003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47595 + ... + 53554.

It is an arithmetic number, because the mean of its divisors is an integer number (26551875).

Almost surely, 2301424020 is an apocalyptic number.

It is an amenable number.

301424020 is an abundant number, since it is smaller than the sum of its proper divisors (335820980).

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

301424020 is a wasteful number, since it uses less digits than its factorization.

301424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101307 (or 101305 counting only the distinct ones).

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

The square root of 301424020 is about 17361.5673255614. The cubic root of 301424020 is about 670.4904851303.

Adding to 301424020 its reverse (20424103), we get a palindrome (321848123).

The spelling of 301424020 in words is "three hundred one million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 101149 202298 404596 505745 1011490 2022980 15071201 30142402 60284804 75356005 150712010 301424020