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940013424 = 2436729397
BaseRepresentation
bin111000000001110…
…111011101110000
32102111210122000000
4320001313131300
53411120412144
6233135430000
732202660630
oct7001673560
92374718000
10940013424
11442681aa9
12222985300
1311c99637c
148cbb46c0
15577d2769
hex38077770

940013424 has 280 divisors, whose sum is σ = 3236504160. Its totient is φ = 258660864.

The previous prime is 940013387. The next prime is 940013447. The reversal of 940013424 is 424310049.

940013424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2367594 + ... + 2367990.

Almost surely, 2940013424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618252080).

940013424 is an abundant number, since it is smaller than the sum of its proper divisors (2296490736).

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

940013424 is a wasteful number, since it uses less digits than its factorization.

940013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 940013424 is about 30659.6383540315. The cubic root of 940013424 is about 979.5907718011.

The spelling of 940013424 in words is "nine hundred forty million, thirteen thousand, four hundred twenty-four".