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301001442 = 237471391097
BaseRepresentation
bin10001111100001…
…110101011100010
3202222101110100120
4101330032223202
51104024021232
645511301110
710313320140
oct2174165342
9688343316
10301001442
111449a8925
128497a796
134a48b881
142bd94590
151b65a92c
hex11f0eae2

301001442 has 64 divisors (see below), whose sum is σ = 708341760. Its totient is φ = 83488896.

The previous prime is 301001431. The next prime is 301001443. The reversal of 301001442 is 244100103.

301001442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (301001443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273838 + ... + 274934.

It is an arithmetic number, because the mean of its divisors is an integer number (11067840).

Almost surely, 2301001442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301001442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354170880).

301001442 is an abundant number, since it is smaller than the sum of its proper divisors (407340318).

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

301001442 is a wasteful number, since it uses less digits than its factorization.

301001442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 301001442 is about 17349.3931305968. The cubic root of 301001442 is about 670.1770097395.

Adding to 301001442 its reverse (244100103), we get a palindrome (545101545).

The spelling of 301001442 in words is "three hundred one million, one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 139 141 278 282 329 417 658 834 973 987 1097 1946 1974 2194 2919 3291 5838 6533 6582 7679 13066 15358 19599 23037 39198 45731 46074 51559 91462 103118 137193 152483 154677 274386 304966 309354 360913 457449 721826 914898 1067381 1082739 2134762 2165478 3202143 6404286 7166701 14333402 21500103 43000206 50166907 100333814 150500721 301001442