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1002423240 = 2332571337827
BaseRepresentation
bin111011101111111…
…100001111001000
32120212020101011200
4323233330033020
54023110020430
6243245224200
733561312510
oct7357741710
92525211150
101002423240
11474929465
1223b862060
1312c8a8160
14971bc840
155d00e460
hex3bbfc3c8

1002423240 has 384 divisors, whose sum is σ = 4123042560. Its totient is φ = 205535232.

The previous prime is 1002423221. The next prime is 1002423269. The reversal of 1002423240 is 423242001.

1002423240 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 423 + 240 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211707 + ... + 1212533.

It is an arithmetic number, because the mean of its divisors is an integer number (10737090).

Almost surely, 21002423240 is an apocalyptic number.

1002423240 is a gapful number since it is divisible by the number (10) 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 1002423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061521280).

1002423240 is an abundant number, since it is smaller than the sum of its proper divisors (3120619320).

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

1002423240 is a wasteful number, since it uses less digits than its factorization.

1002423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 894 counting only the distinct ones).

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

The square root of 1002423240 is about 31661.0682068688. The cubic root of 1002423240 is about 1000.8070950889.

Adding to 1002423240 its reverse (423242001), we get a palindrome (1425665241).

The spelling of 1002423240 in words is "one billion, two million, four hundred twenty-three thousand, two hundred forty".