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23442480 = 2433510853
BaseRepresentation
bin101100101101…
…1010000110000
31122010000001000
41121123100300
522000124410
62154242000
7403154265
oct131332060
948100030
1023442480
1112261756
127a26300
134b1a2b9
14318326c
1520d0dc0
hex165b430

23442480 has 80 divisors (see below), whose sum is σ = 80753760. Its totient is φ = 6250752.

The previous prime is 23442457. The next prime is 23442487. The reversal of 23442480 is 8424432.

It is a happy number.

23442480 is a `hidden beast` number, since 234 + 424 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23442487) 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 15 ways as a sum of consecutive naturals, for example, 3267 + ... + 7586.

It is an arithmetic number, because the mean of its divisors is an integer number (1009422).

Almost surely, 223442480 is an apocalyptic number.

23442480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23442480 is an abundant number, since it is smaller than the sum of its proper divisors (57311280).

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

23442480 is a wasteful number, since it uses less digits than its factorization.

23442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 23442480 is about 4841.7434876292. The cubic root of 23442480 is about 286.1988282764.

The spelling of 23442480 in words is "twenty-three million, four hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 10853 21706 32559 43412 54265 65118 86824 97677 108530 130236 162795 173648 195354 217060 260472 293031 325590 390708 434120 488385 520944 586062 651180 781416 868240 976770 1172124 1302360 1465155 1562832 1953540 2344248 2604720 2930310 3907080 4688496 5860620 7814160 11721240 23442480