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1424197440 = 2632517191531
BaseRepresentation
bin101010011100011…
…1000011101000000
310200020212201121100
41110320320131000
510404043304230
6353153254400
750202323061
oct12470703500
93606781540
101424197440
11670a16686
12338b64400
131990a15a3
14d7210568
1585074660
hex54e38740

1424197440 has 336 divisors, whose sum is σ = 5463357120. Its totient is φ = 338411520.

The previous prime is 1424197433. The next prime is 1424197441. The reversal of 1424197440 is 447914241.

1424197440 is a `hidden beast` number, since 1 + 4 + 24 + 197 + 440 = 666.

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 = 1424197395 and 1424197404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424197441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929475 + ... + 931005.

Almost surely, 21424197440 is an apocalyptic number.

1424197440 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 1424197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731678560).

1424197440 is an abundant number, since it is smaller than the sum of its proper divisors (4039159680).

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

1424197440 is a wasteful number, since it uses less digits than its factorization.

1424197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1424197440 is about 37738.5405123198. The cubic root of 1424197440 is about 1125.0972597395.

The spelling of 1424197440 in words is "one billion, four hundred twenty-four million, one hundred ninety-seven thousand, four hundred forty".