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23401440 = 253355417
BaseRepresentation
bin101100101000…
…1001111100000
31122000220202000
41121101033200
521442321230
62153324000
7402623526
oct131211740
948026660
1023401440
1112233937
127a06600
134b0470a
143172316
1520c3b60
hex16513e0

23401440 has 96 divisors (see below), whose sum is σ = 81920160. Its totient is φ = 6239232.

The previous prime is 23401379. The next prime is 23401451. The reversal of 23401440 is 4410432.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 1612 + ... + 7028.

It is an arithmetic number, because the mean of its divisors is an integer number (853335).

Almost surely, 223401440 is an apocalyptic number.

23401440 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 23401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40960080).

23401440 is an abundant number, since it is smaller than the sum of its proper divisors (58518720).

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

23401440 is a wasteful number, since it uses less digits than its factorization.

23401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23401440 is about 4837.5034883708. The cubic root of 23401440 is about 286.0317176749.

Adding to 23401440 its reverse (4410432), we get a palindrome (27811872).

The spelling of 23401440 in words is "twenty-three million, four hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 5417 10834 16251 21668 27085 32502 43336 48753 54170 65004 81255 86672 97506 108340 130008 146259 162510 173344 195012 216680 243765 260016 292518 325020 390024 433360 487530 520032 585036 650040 731295 780048 866720 975060 1170072 1300080 1462590 1560096 1950120 2340144 2600160 2925180 3900240 4680288 5850360 7800480 11700720 23401440