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301413424 = 24132695387
BaseRepresentation
bin10001111101110…
…011010000110000
3210000011101111011
4101331303100300
51104130212144
645524200304
710316654224
oct2175632060
9700141434
10301413424
1114515a404
1284b39094
134a5a4250
142c060784
151b6dca34
hex11f73430

301413424 has 40 divisors (see below), whose sum is σ = 631365840. Its totient is φ = 138571008.

The previous prime is 301413407. The next prime is 301413439. The reversal of 301413424 is 424314103.

It is a junction number, because it is equal to n+sod(n) for n = 301413395 and 301413404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53259 + ... + 58645.

It is an arithmetic number, because the mean of its divisors is an integer number (15784146).

Almost surely, 2301413424 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 301413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315682920).

301413424 is an abundant number, since it is smaller than the sum of its proper divisors (329952416).

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

301413424 is a wasteful number, since it uses less digits than its factorization.

301413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 301413424 is about 17361.2621660984. The cubic root of 301413424 is about 670.4826284235.

Adding to 301413424 its reverse (424314103), we get a palindrome (725727527).

The spelling of 301413424 in words is "three hundred one million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 269 538 1076 2152 3497 4304 5387 6994 10774 13988 21548 27976 43096 55952 70031 86192 140062 280124 560248 1120496 1449103 2898206 5796412 11592824 18838339 23185648 37676678 75353356 150706712 301413424