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2314128 = 243371303
BaseRepresentation
bin1000110100111110010000
311100120101110
420310332100
51043023003
6121333320
725445505
oct10647620
94316343
102314128
111340703
12937240
1363040b
144434ac
1530aa03
hex234f90

2314128 has 40 divisors (see below), whose sum is σ = 6144448. Its totient is φ = 749952.

The previous prime is 2314121. The next prime is 2314133. The reversal of 2314128 is 8214132.

2314128 is nontrivially palindromic in base 15.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2314121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125 + ... + 2427.

22314128 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 2314128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072224).

2314128 is an abundant number, since it is smaller than the sum of its proper divisors (3830320).

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

2314128 is a wasteful number, since it uses less digits than its factorization.

2314128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1345 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 2314128 is about 1521.2258215005. The cubic root of 2314128 is about 132.2703366965.

It can be divided in two parts, 2314 and 128, that added together give a palindrome (2442).

The spelling of 2314128 in words is "two million, three hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1303 1776 2606 3909 5212 7818 10424 15636 20848 31272 48211 62544 96422 144633 192844 289266 385688 578532 771376 1157064 2314128