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40843440 = 2435511191
BaseRepresentation
bin1001101111001…
…1100010110000
32211212001200000
42123303202300
540423442230
64015230000
71004110041
oct233634260
984761600
1040843440
1121067310
1211818300
138600721
1455d28c8
1538bbb60
hex26f38b0

40843440 has 240 divisors, whose sum is σ = 155990016. Its totient is φ = 9849600.

The previous prime is 40843417. The next prime is 40843447. The reversal of 40843440 is 4434804.

40843440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 (40843447) 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 47 ways as a sum of consecutive naturals, for example, 213745 + ... + 213935.

Almost surely, 240843440 is an apocalyptic number.

40843440 is a gapful number since it is divisible by the number (40) 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 40843440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

40843440 is an abundant number, since it is smaller than the sum of its proper divisors (115146576).

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

40843440 is a wasteful number, since it uses less digits than its factorization.

40843440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

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

The square root of 40843440 is about 6390.8872623447. The cubic root of 40843440 is about 344.3822594026.

The spelling of 40843440 in words is "forty million, eight hundred forty-three thousand, four hundred forty".