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24230340 = 2234514957
BaseRepresentation
bin101110001101…
…1100111000100
31200121000210000
41130123213010
522200332330
62223201300
7412645251
oct134334704
950530700
1024230340
111274a682
128146230
135034aa4
14330a428
1521d9560
hex171b9c4

24230340 has 60 divisors (see below), whose sum is σ = 76016556. Its totient is φ = 6460992.

The previous prime is 24230299. The next prime is 24230347. The reversal of 24230340 is 4303242.

It can be written as a sum of positive squares in 2 ways, for example, as 7387524 + 16842816 = 2718^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (24230347) 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 19 ways as a sum of consecutive naturals, for example, 5859 + ... + 9098.

Almost surely, 224230340 is an apocalyptic number.

24230340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24230340 is an abundant number, since it is smaller than the sum of its proper divisors (51786216).

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

24230340 is a wasteful number, since it uses less digits than its factorization.

24230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14978 (or 14967 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 24230340 is about 4922.4323255886. The cubic root of 24230340 is about 289.3697768635.

Adding to 24230340 its reverse (4303242), we get a palindrome (28533582).

The spelling of 24230340 in words is "twenty-four million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 14957 29914 44871 59828 74785 89742 134613 149570 179484 224355 269226 299140 403839 448710 538452 673065 807678 897420 1211517 1346130 1615356 2019195 2423034 2692260 4038390 4846068 6057585 8076780 12115170 24230340