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40170240 = 2832511317
BaseRepresentation
bin1001100100111…
…1001100000000
32210120212012200
42121033030000
540240421430
63552553200
7665304255
oct231171400
983525180
1040170240
1120747550
1211552800
138426196
14549942c
1537d7460
hex264f300

40170240 has 216 divisors, whose sum is σ = 152098128. Its totient is φ = 9707520.

The previous prime is 40170223. The next prime is 40170241. The reversal of 40170240 is 4207104.

It is a happy number.

It is a super-2 number, since 2×401702402 = 3227296363315200, which contains 22 as substring.

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 (40170241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126562 + ... + 126878.

It is an arithmetic number, because the mean of its divisors is an integer number (704158).

Almost surely, 240170240 is an apocalyptic number.

40170240 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 40170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76049064).

40170240 is an abundant number, since it is smaller than the sum of its proper divisors (111927888).

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

40170240 is a wasteful number, since it uses less digits than its factorization.

40170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40170240 is about 6337.9996844430. Note that the first 3 decimals coincide. The cubic root of 40170240 is about 342.4796798288.

Adding to 40170240 its reverse (4207104), we get a palindrome (44377344).

The spelling of 40170240 in words is "forty million, one hundred seventy thousand, two hundred forty".