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40144320 = 2632553263
BaseRepresentation
bin1001100100100…
…0110111000000
32210112112122200
42121020313000
540234104240
63552233200
7665135556
oct231106700
983475580
1040144320
112072a027
121153b800
138417448
14548dbd6
1537ce930
hex2648dc0

40144320 has 168 divisors, whose sum is σ = 141219936. Its totient is φ = 10463232.

The previous prime is 40144309. The next prime is 40144331. The reversal of 40144320 is 2344104.

It is an interprime number because it is at equal distance from previous prime (40144309) and next prime (40144331).

It is a super-2 number, since 2×401443202 = 3223132856524800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40144293 and 40144302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152509 + ... + 152771.

Almost surely, 240144320 is an apocalyptic number.

40144320 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 40144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70609968).

40144320 is an abundant number, since it is smaller than the sum of its proper divisors (101075616).

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

40144320 is a wasteful number, since it uses less digits than its factorization.

40144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

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

The square root of 40144320 is about 6335.9545452915. The cubic root of 40144320 is about 342.4060018746.

Adding to 40144320 its reverse (2344104), we get a palindrome (42488424).

The spelling of 40144320 in words is "forty million, one hundred forty-four thousand, three hundred twenty".