Search a number
-
+
301431020 = 225113074463
BaseRepresentation
bin10001111101110…
…111100011101100
3210000012021121212
4101331313203230
51104131243040
645524413552
710320056432
oct2175674354
9700167555
10301431020
11145171650
1284b472b8
134a5ac267
142c066d52
151b6e2d65
hex11f778ec

301431020 has 48 divisors (see below), whose sum is σ = 692955648. Its totient is φ = 109229760.

The previous prime is 301431007. The next prime is 301431037. The reversal of 301431020 is 20134103.

301431020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 301430986 and 301431004.

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, 65309 + ... + 69771.

It is an arithmetic number, because the mean of its divisors is an integer number (14436576).

Almost surely, 2301431020 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 301431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346477824).

301431020 is an abundant number, since it is smaller than the sum of its proper divisors (391524628).

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

301431020 is a wasteful number, since it uses less digits than its factorization.

301431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 301431020 is about 17361.7689190935. The cubic root of 301431020 is about 670.4956753792.

Adding to 301431020 its reverse (20134103), we get a palindrome (321565123).

The spelling of 301431020 in words is "three hundred one million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 307 614 1228 1535 3070 3377 4463 6140 6754 8926 13508 16885 17852 22315 33770 44630 49093 67540 89260 98186 196372 245465 490930 981860 1370141 2740282 5480564 6850705 13701410 15071551 27402820 30143102 60286204 75357755 150715510 301431020