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1669429440 = 2635573067
BaseRepresentation
bin110001110000001…
…0111100011000000
311022100022210200000
41203200113203000
511404333220230
6433353400000
756240626140
oct14340274300
94270283600
101669429440
11787393058
123a7109000
13207b34993
1411ba08920
159b865b60
hex638178c0

1669429440 has 336 divisors, whose sum is σ = 6807720192. Its totient is φ = 381459456.

The previous prime is 1669429439. The next prime is 1669429441. The reversal of 1669429440 is 449249661.

1669429440 is a `hidden beast` number, since 166 + 9 + 42 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1669429439) and next prime (1669429441).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1669429441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542787 + ... + 545853.

It is an arithmetic number, because the mean of its divisors is an integer number (20261072).

Almost surely, 21669429440 is an apocalyptic number.

1669429440 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 1669429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403860096).

1669429440 is an abundant number, since it is smaller than the sum of its proper divisors (5138290752).

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

1669429440 is an equidigital number, since it uses as much as digits as its factorization.

1669429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1669429440 is about 40858.6519601418. The cubic root of 1669429440 is about 1186.2858658348.

The spelling of 1669429440 in words is "one billion, six hundred sixty-nine million, four hundred twenty-nine thousand, four hundred forty".