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1424903040 = 273251143523
BaseRepresentation
bin101010011101110…
…0100101110000000
310200022012120111200
41110323210232000
510404233344130
6353220341200
750211322161
oct12473445600
93608176450
101424903040
11671358820
12339244800
1319928a7c2
14d7355768
1585163760
hex54ee4b80

1424903040 has 384 divisors, whose sum is σ = 5503006080. Its totient is φ = 336752640.

The previous prime is 1424903027. The next prime is 1424903099. The reversal of 1424903040 is 403094241.

1424903040 is a `hidden beast` number, since 142 + 490 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1424902995 and 1424903013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2724219 + ... + 2724741.

It is an arithmetic number, because the mean of its divisors is an integer number (14330745).

Almost surely, 21424903040 is an apocalyptic number.

1424903040 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 1424903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751503040).

1424903040 is an abundant number, since it is smaller than the sum of its proper divisors (4078103040).

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

1424903040 is a wasteful number, since it uses less digits than its factorization.

1424903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 587 counting only the distinct ones).

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

The square root of 1424903040 is about 37747.8878879335. The cubic root of 1424903040 is about 1125.2830339719.

Adding to 1424903040 its reverse (403094241), we get a palindrome (1827997281).

It can be divided in two parts, 142490 and 3040, that added together give a triangular number (145530 = T539).

The spelling of 1424903040 in words is "one billion, four hundred twenty-four million, nine hundred three thousand, forty".