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40332240 = 243251331139
BaseRepresentation
bin1001100111011…
…0101111010000
32210220002102200
42121312233100
540311112430
64000243200
7666550464
oct231665720
983802380
1040332240
1120848233
1211610500
138481b40
1454dc4a4
15381a460
hex2676bd0

40332240 has 240 divisors, whose sum is σ = 151656960. Its totient is φ = 9538560.

The previous prime is 40332181. The next prime is 40332277. The reversal of 40332240 is 4223304.

40332240 = T129 + T130 + ... + T624.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290091 + ... + 290229.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 240332240 is an apocalyptic number.

40332240 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 40332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75828480).

40332240 is an abundant number, since it is smaller than the sum of its proper divisors (111324720).

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

40332240 is a wasteful number, since it uses less digits than its factorization.

40332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

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

The square root of 40332240 is about 6350.7668828260. The cubic root of 40332240 is about 342.9394504774.

Adding to 40332240 its reverse (4223304), we get a palindrome (44555544).

The spelling of 40332240 in words is "forty million, three hundred thirty-two thousand, two hundred forty".