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1423837440 = 2834531443
BaseRepresentation
bin101010011011110…
…0000100100000000
310200020012102210000
41110313200210000
510404000244230
6353141440000
750166263364
oct12467404400
93606172700
101423837440
116707a0163
12338a10000
13198ca677c
14d71592a4
1585002b60
hex54de0900

1423837440 has 360 divisors, whose sum is σ = 5270969088. Its totient is φ = 366612480.

The previous prime is 1423837427. The next prime is 1423837483. The reversal of 1423837440 is 447383241.

1423837440 is a `hidden beast` number, since 14 + 238 + 374 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1423837395 and 1423837404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3213859 + ... + 3214301.

Almost surely, 21423837440 is an apocalyptic number.

1423837440 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 1423837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635484544).

1423837440 is an abundant number, since it is smaller than the sum of its proper divisors (3847131648).

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

1423837440 is an equidigital number, since it uses as much as digits as its factorization.

1423837440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1423837440 is about 37733.7705510594. The cubic root of 1423837440 is about 1125.0024533280.

The spelling of 1423837440 in words is "one billion, four hundred twenty-three million, eight hundred thirty-seven thousand, four hundred forty".