Search a number
-
+
301420240 = 24511461743
BaseRepresentation
bin10001111101110…
…100111011010000
3210000011201211121
4101331310323100
51104130421430
645524252024
710320013132
oct2175647320
9700151747
10301420240
11145164540
1284b41014
134a5a7394
142c063052
151b6dea7a
hex11f74ed0

301420240 has 80 divisors (see below), whose sum is σ = 767200896. Its totient is φ = 109222400.

The previous prime is 301420219. The next prime is 301420253. The reversal of 301420240 is 42024103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3014202402 = 181708322163315200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405309 + ... + 406051.

Almost surely, 2301420240 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 301420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383600448).

301420240 is an abundant number, since it is smaller than the sum of its proper divisors (465780656).

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

301420240 is a wasteful number, since it uses less digits than its factorization.

301420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 301420240 is about 17361.4584640807. The cubic root of 301420240 is about 670.4876823624.

Adding to 301420240 its reverse (42024103), we get a palindrome (343444343).

The spelling of 301420240 in words is "three hundred one million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 461 743 880 922 1486 1844 2305 2972 3688 3715 4610 5071 5944 7376 7430 8173 9220 10142 11888 14860 16346 18440 20284 25355 29720 32692 36880 40568 40865 50710 59440 65384 81136 81730 101420 130768 163460 202840 326920 342523 405680 653840 685046 1370092 1712615 2740184 3425230 3767753 5480368 6850460 7535506 13700920 15071012 18838765 27401840 30142024 37677530 60284048 75355060 150710120 301420240