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1434669984 = 2532111721567
BaseRepresentation
bin101010110000011…
…0101001110100000
310200222120210020100
41111200311032200
510414233414414
6354205542400
750360331216
oct12540651640
93628523210
101434669984
11676919880
12340574a00
1319b2ca267
14d8778cb6
1585e42609
hex558353a0

1434669984 has 216 divisors, whose sum is σ = 4730963328. Its totient is φ = 408913920.

The previous prime is 1434669979. The next prime is 1434669989. The reversal of 1434669984 is 4899664341.

It is a happy number.

1434669984 is a `hidden beast` number, since 14 + 3 + 466 + 99 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (1434669979) and next prime (1434669989).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1434669984.

It is not an unprimeable number, because it can be changed into a prime (1434669989) 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 35 ways as a sum of consecutive naturals, for example, 914769 + ... + 916335.

It is an arithmetic number, because the mean of its divisors is an integer number (21902608).

Almost surely, 21434669984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434669984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365481664).

1434669984 is an abundant number, since it is smaller than the sum of its proper divisors (3296293344).

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

1434669984 is a wasteful number, since it uses less digits than its factorization.

1434669984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1600 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 1434669984 is about 37877.0376877601. The cubic root of 1434669984 is about 1127.8482518062.

The spelling of 1434669984 in words is "one billion, four hundred thirty-four million, six hundred sixty-nine thousand, nine hundred eighty-four".