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23840064 = 263241389
BaseRepresentation
bin101101011110…
…0010101000000
31122212012102100
41122330111000
522100340224
62210550400
7406431363
oct132742500
948765370
1023840064
1112503436
127b98400
134c29261
1432480da
15215dac9
hex16bc540

23840064 has 42 divisors (see below), whose sum is σ = 68334890. Its totient is φ = 7946496.

The previous prime is 23840057. The next prime is 23840077. The reversal of 23840064 is 46004832.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 1937664 = 4680^2 + 1392^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20119 + ... + 21270.

Almost surely, 223840064 is an apocalyptic number.

23840064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23840064 is an abundant number, since it is smaller than the sum of its proper divisors (44494826).

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

23840064 is a wasteful number, since it uses less digits than its factorization.

23840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41407 (or 41394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23840064 is about 4882.6288001444. The cubic root of 23840064 is about 287.8077420548.

Adding to 23840064 its reverse (46004832), we get a palindrome (69844896).

The spelling of 23840064 in words is "twenty-three million, eight hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 41389 82778 124167 165556 248334 331112 372501 496668 662224 745002 993336 1324448 1490004 1986672 2648896 2980008 3973344 5960016 7946688 11920032 23840064