Search a number
-
+
300431142 = 232112271509
BaseRepresentation
bin10001111010000…
…011011100100110
3202221022111001100
4101322003130212
51103402244032
645451140530
710305423354
oct2172033446
9687274040
10300431142
11144649400
1284744746
134a31c10b
142bc867d4
151b59697c
hex11e83726

300431142 has 72 divisors (see below), whose sum is σ = 719540640. Its totient is φ = 90525600.

The previous prime is 300431113. The next prime is 300431167. The reversal of 300431142 is 241134003.

300431142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 589984 + ... + 590492.

It is an arithmetic number, because the mean of its divisors is an integer number (9993620).

Almost surely, 2300431142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300431142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359770320).

300431142 is an abundant number, since it is smaller than the sum of its proper divisors (419109498).

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

300431142 is a wasteful number, since it uses less digits than its factorization.

300431142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 300431142 is about 17332.9496047268. The cubic root of 300431142 is about 669.7534862027.

Adding to 300431142 its reverse (241134003), we get a palindrome (541565145).

The spelling of 300431142 in words is "three hundred million, four hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 271 363 509 542 726 813 1018 1089 1527 1626 2178 2439 2981 3054 4581 4878 5599 5962 8943 9162 11198 16797 17886 26829 32791 33594 50391 53658 61589 65582 98373 100782 123178 137939 184767 196746 275878 295119 369534 413817 554301 590238 827634 1108602 1241451 1517329 2482902 3034658 4551987 9103974 13655961 16690619 27311922 33381238 50071857 100143714 150215571 300431142