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310431114 = 232711321803
BaseRepresentation
bin10010100000001…
…100110110001010
3210122010112102200
4102200030312022
51113432243424
650445341030
710456422660
oct2240146612
9718115380
10310431114
1114a259544
1287b67776
134c410966
142d32ac30
151c3be8c9
hex1280cd8a

310431114 has 48 divisors (see below), whose sum is σ = 775524672. Its totient is φ = 87905664.

The previous prime is 310431103. The next prime is 310431119. The reversal of 310431114 is 411134013.

310431114 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 not an unprimeable number, because it can be changed into a prime (310431119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3337 + ... + 25139.

It is an arithmetic number, because the mean of its divisors is an integer number (16156764).

Almost surely, 2310431114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310431114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387762336).

310431114 is an abundant number, since it is smaller than the sum of its proper divisors (465093558).

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

310431114 is a wasteful number, since it uses less digits than its factorization.

310431114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21931 (or 21928 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 310431114 is about 17619.0554230356. The cubic root of 310431114 is about 677.1035349626.

Adding to 310431114 its reverse (411134013), we get a palindrome (721565127).

The spelling of 310431114 in words is "three hundred ten million, four hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 2034 2373 4746 7119 14238 21803 43606 65409 130818 152621 196227 305242 392454 457863 915726 1373589 2463739 2747178 4927478 7391217 14782434 17246173 22173651 34492346 44347302 51738519 103477038 155215557 310431114