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301072 = 2431607
BaseRepresentation
bin1001001100000010000
3120021222211
41021200100
534113242
610241504
72362522
oct1114020
9507884
10301072
11196222
12126294
13a7065
147ba12
155e317
hex49810

301072 has 20 divisors (see below), whose sum is σ = 603136. Its totient is φ = 145440.

The previous prime is 301057. The next prime is 301073. The reversal of 301072 is 270103.

301072 is an admirable number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (301073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193 + ... + 799.

2301072 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 301072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301568).

301072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

301072 is a wasteful number, since it uses less digits than its factorization.

301072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 301072 is about 548.7002824858. The cubic root of 301072 is about 67.0229371233.

Adding to 301072 its reverse (270103), we get a palindrome (571175).

The spelling of 301072 in words is "three hundred one thousand, seventy-two", and thus it is an iban number.

Divisors: 1 2 4 8 16 31 62 124 248 496 607 1214 2428 4856 9712 18817 37634 75268 150536 301072