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301354242 = 23783137631
BaseRepresentation
bin10001111101100…
…100110100000010
3210000001101022020
4101331210310002
51104121313432
645523022310
710316316540
oct2175446402
9700041266
10301354242
111451199a2
1284b0a996
134a583327
142c046d90
151b6ca22c
hex11f64d02

301354242 has 64 divisors (see below), whose sum is σ = 703309824. Its totient is φ = 84309120.

The previous prime is 301354201. The next prime is 301354279. The reversal of 301354242 is 242453103.

It is an unprimeable number.

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, 477267 + ... + 477897.

It is an arithmetic number, because the mean of its divisors is an integer number (10989216).

Almost surely, 2301354242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301354242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351654912).

301354242 is an abundant number, since it is smaller than the sum of its proper divisors (401955582).

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

301354242 is a wasteful number, since it uses less digits than its factorization.

301354242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 301354242 is about 17359.5576556547. The cubic root of 301354242 is about 670.4387428529.

The spelling of 301354242 in words is "three hundred one million, three hundred fifty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 83 137 166 249 274 411 498 581 631 822 959 1162 1262 1743 1893 1918 2877 3486 3786 4417 5754 8834 11371 13251 22742 26502 34113 52373 68226 79597 86447 104746 157119 159194 172894 238791 259341 314238 366611 477582 518682 605129 733222 1099833 1210258 1815387 2199666 3630774 7175101 14350202 21525303 43050606 50225707 100451414 150677121 301354242