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24312340 = 2251327193
BaseRepresentation
bin101110010111…
…1101000010100
31200202012021001
41130233220110
522210443330
62225033044
7413436313
oct134575024
950665231
1024312340
11127a6248
128185784
135063200
14332c27a
1522039ca
hex172fa14

24312340 has 36 divisors (see below), whose sum is σ = 55293084. Its totient is φ = 8975616.

The previous prime is 24312313. The next prime is 24312347. The reversal of 24312340 is 4321342.

It can be written as a sum of positive squares in 6 ways, for example, as 10784656 + 13527684 = 3284^2 + 3678^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24312347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217 + ... + 6976.

It is an arithmetic number, because the mean of its divisors is an integer number (1535919).

Almost surely, 224312340 is an apocalyptic number.

24312340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27646542).

24312340 is an abundant number, since it is smaller than the sum of its proper divisors (30980744).

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

24312340 is a wasteful number, since it uses less digits than its factorization.

24312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 24312340 is about 4930.7545061583. The cubic root of 24312340 is about 289.6958364633.

Adding to 24312340 its reverse (4321342), we get a palindrome (28633682).

The spelling of 24312340 in words is "twenty-four million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 7193 14386 28772 35965 71930 93509 143860 187018 374036 467545 935090 1215617 1870180 2431234 4862468 6078085 12156170 24312340