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23042304 = 283273137
BaseRepresentation
bin101011111100…
…1100100000000
31121100200002200
41113321210000
521344323204
62141513200
7366566505
oct127714400
947320080
1023042304
111200902a
127872800
134a0a0cc
1430bb4ac
152052539
hex15f9900

23042304 has 108 divisors (see below), whose sum is σ = 67838316. Its totient is φ = 7520256.

The previous prime is 23042303. The next prime is 23042309. The reversal of 23042304 is 40324032.

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 9734400 = 3648^2 + 3120^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23042303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 168124 + ... + 168260.

Almost surely, 223042304 is an apocalyptic number.

23042304 is a gapful number since it is divisible by the number (24) 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 23042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33919158).

23042304 is an abundant number, since it is smaller than the sum of its proper divisors (44796012).

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

23042304 is a wasteful number, since it uses less digits than its factorization.

23042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

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

The square root of 23042304 is about 4800.2399940003. The cubic root of 23042304 is about 284.5609490919.

23042304 divided by its product of nonzero digits (576) gives a palindrome (40004).

Adding to 23042304 its reverse (40324032), we get a palindrome (63366336).

The spelling of 23042304 in words is "twenty-three million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 137 144 146 192 219 256 274 288 292 384 411 438 548 576 584 657 768 822 876 1096 1152 1168 1233 1314 1644 1752 2192 2304 2336 2466 2628 3288 3504 4384 4672 4932 5256 6576 7008 8768 9344 9864 10001 10512 13152 14016 17536 18688 19728 20002 21024 26304 28032 30003 35072 39456 40004 42048 52608 56064 60006 78912 80008 84096 90009 105216 120012 157824 160016 168192 180018 240024 315648 320032 360036 480048 640064 720072 960096 1280128 1440144 1920192 2560256 2880288 3840384 5760576 7680768 11521152 23042304