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1434004992 = 2933722973
BaseRepresentation
bin101010101111001…
…0010111000000000
310200221100000001000
41111132102320000
510414101124432
6354143412000
750351561400
oct12536227000
93627300030
101434004992
116765051a2
123402b4000
1319b126684
14d8644800
1585d6057c
hex55792e00

1434004992 has 480 divisors, whose sum is σ = 5178016800. Its totient is φ = 390168576.

The previous prime is 1434004991. The next prime is 1434004997. The reversal of 1434004992 is 2994004341.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434004991) 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, 19643868 + ... + 19643940.

It is an arithmetic number, because the mean of its divisors is an integer number (10787535).

Almost surely, 21434004992 is an apocalyptic number.

1434004992 is a gapful number since it is divisible by the number (12) 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 1434004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589008400).

1434004992 is an abundant number, since it is smaller than the sum of its proper divisors (3744011808).

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

1434004992 is an equidigital number, since it uses as much as digits as its factorization.

1434004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1434004992 is about 37868.2583703027. The cubic root of 1434004992 is about 1127.6739664343.

The spelling of 1434004992 in words is "one billion, four hundred thirty-four million, four thousand, nine hundred ninety-two".