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2340312 = 233132577
BaseRepresentation
bin1000111011010111011000
311101220022020
420323113120
51044342222
6122054440
725615032
oct10732730
94356266
102340312
111359347
1294a420
1363c300
1444cc52
1531365c
hex23b5d8

2340312 has 48 divisors (see below), whose sum is σ = 6346440. Its totient is φ = 718848.

The previous prime is 2340277. The next prime is 2340313. The reversal of 2340312 is 2130432.

It is a junction number, because it is equal to n+sod(n) for n = 2340291 and 2340300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3768 + ... + 4344.

22340312 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 2340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173220).

2340312 is an abundant number, since it is smaller than the sum of its proper divisors (4006128).

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

2340312 is a wasteful number, since it uses less digits than its factorization.

2340312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2340312 is about 1529.8078310690. The cubic root of 2340312 is about 132.7673396724.

Adding to 2340312 its reverse (2130432), we get a palindrome (4470744).

The spelling of 2340312 in words is "two million, three hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 577 676 1014 1154 1352 1731 2028 2308 3462 4056 4616 6924 7501 13848 15002 22503 30004 45006 60008 90012 97513 180024 195026 292539 390052 585078 780104 1170156 2340312