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311430030 = 235312571303
BaseRepresentation
bin10010100100000…
…000101110001110
3210201000021200120
4102210000232032
51114211230110
650523005410
710501053162
oct2244005616
9721007616
10311430030
1114a880a9a
1288369866
134c6a0532
142d50aca2
151c51a870
hex12900b8e

311430030 has 64 divisors (see below), whose sum is σ = 775139328. Its totient is φ = 79994880.

The previous prime is 311430023. The next prime is 311430047. The reversal of 311430030 is 30034113.

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

It is a junction number, because it is equal to n+sod(n) for n = 311429991 and 311430009.

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 31 ways as a sum of consecutive naturals, for example, 238359 + ... + 239661.

It is an arithmetic number, because the mean of its divisors is an integer number (12111552).

Almost surely, 2311430030 is an apocalyptic number.

311430030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311430030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387569664).

311430030 is an abundant number, since it is smaller than the sum of its proper divisors (463709298).

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

311430030 is a wasteful number, since it uses less digits than its factorization.

311430030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 311430030 is about 17647.3802588373. The cubic root of 311430030 is about 677.8290264234.

Adding to 311430030 its reverse (30034113), we get a palindrome (341464143).

The spelling of 311430030 in words is "three hundred eleven million, four hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 257 310 465 514 771 930 1285 1303 1542 2570 2606 3855 3909 6515 7710 7818 7967 13030 15934 19545 23901 39090 39835 40393 47802 79670 80786 119505 121179 201965 239010 242358 334871 403930 605895 669742 1004613 1211790 1674355 2009226 3348710 5023065 10046130 10381001 20762002 31143003 51905005 62286006 103810010 155715015 311430030