Search a number
-
+
303130320 = 24355323831
BaseRepresentation
bin10010000100010…
…110011011010000
3210010101121121220
4102010112123100
51110100132240
650025045040
710340364603
oct2204263320
9703347556
10303130320
11146122329
1285626780
134aa5586c
142c38a33a
151b92b5d0
hex121166d0

303130320 has 80 divisors (see below), whose sum is σ = 957474432. Its totient is φ = 79306240.

The previous prime is 303130319. The next prime is 303130357. The reversal of 303130320 is 23031303.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 303130320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805 + ... + 24635.

Almost surely, 2303130320 is an apocalyptic number.

303130320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478737216).

303130320 is an abundant number, since it is smaller than the sum of its proper divisors (654344112).

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

303130320 is a wasteful number, since it uses less digits than its factorization.

303130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23900 (or 23894 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 303130320 is about 17410.6381273060. The cubic root of 303130320 is about 671.7532753559.

Adding to 303130320 its reverse (23031303), we get a palindrome (326161623).

The spelling of 303130320 in words is "three hundred three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 23831 47662 71493 95324 119155 142986 190648 238310 285972 357465 381296 476620 571944 714930 953240 1143888 1263043 1429860 1906480 2526086 2859720 3789129 5052172 5719440 6315215 7578258 10104344 12630430 15156516 18945645 20208688 25260860 30313032 37891290 50521720 60626064 75782580 101043440 151565160 303130320