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301143040 = 2105115347
BaseRepresentation
bin10001111100110…
…001010000000000
3202222122122120221
4101330301100000
51104043034130
645514312424
710314450022
oct2174612000
9688578527
10301143040
11144a95250
1284a28714
134a50b163
142bdd0012
151b68787a
hex11f31400

301143040 has 88 divisors (see below), whose sum is σ = 788209632. Its totient is φ = 109486080.

The previous prime is 301143013. The next prime is 301143041. The reversal of 301143040 is 40341103.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301143041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53647 + ... + 58993.

Almost surely, 2301143040 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 301143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394104816).

301143040 is an abundant number, since it is smaller than the sum of its proper divisors (487066592).

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

301143040 is a wasteful number, since it uses less digits than its factorization.

301143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 301143040 is about 17353.4734275303. The cubic root of 301143040 is about 670.2820821572.

Adding to 301143040 its reverse (40341103), we get a palindrome (341484143).

It can be divided in two parts, 301 and 143040, that added together give a palindrome (143341).

The spelling of 301143040 in words is "three hundred one million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5347 5632 7040 10694 11264 14080 21388 26735 28160 42776 53470 56320 58817 85552 106940 117634 171104 213880 235268 294085 342208 427760 470536 588170 684416 855520 941072 1176340 1368832 1711040 1882144 2352680 2737664 3422080 3764288 4705360 5475328 6844160 7528576 9410720 13688320 15057152 18821440 27376640 30114304 37642880 60228608 75285760 150571520 301143040