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1434071808 = 283213229127
BaseRepresentation
bin101010101111010…
…0011001100000000
310200221110101200200
41111132203030000
510414110244213
6354145045200
750352260241
oct12536431400
93627411620
101434071808
11676550414
12340326800
1319b14ac00
14d8660cc8
1585d75273
hex557a3300

1434071808 has 324 divisors, whose sum is σ = 4668168960. Its totient is φ = 422682624.

The previous prime is 1434071791. The next prime is 1434071833. The reversal of 1434071808 is 8081704341.

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

It is an unprimeable number.

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, 11291841 + ... + 11291967.

Almost surely, 21434071808 is an apocalyptic number.

1434071808 is a gapful number since it is divisible by the number (18) 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 1434071808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334084480).

1434071808 is an abundant number, since it is smaller than the sum of its proper divisors (3234097152).

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

1434071808 is a wasteful number, since it uses less digits than its factorization.

1434071808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1434071808 is about 37869.1405764641. The cubic root of 1434071808 is about 1127.6914804351.

The spelling of 1434071808 in words is "one billion, four hundred thirty-four million, seventy-one thousand, eight hundred eight".