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666734376 = 233731137199
BaseRepresentation
bin100111101111011…
…000111100101000
31201110120121121210
4213233120330220
52331141000001
6150054233120
722344102000
oct4757307450
91643517553
10666734376
11312399450
121673557a0
13a8192ba9
1464799000
153d800dd6
hex27bd8f28

666734376 has 256 divisors, whose sum is σ = 2188800000. Its totient is φ = 167650560.

The previous prime is 666734363. The next prime is 666734381. The reversal of 666734376 is 673437666.

It is a super-4 number, since 4×6667343764 (a number of 36 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3350325 + ... + 3350523.

It is an arithmetic number, because the mean of its divisors is an integer number (8550000).

Almost surely, 2666734376 is an apocalyptic number.

666734376 is a gapful number since it is divisible by the number (66) 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 666734376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094400000).

666734376 is an abundant number, since it is smaller than the sum of its proper divisors (1522065624).

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

666734376 is a wasteful number, since it uses less digits than its factorization.

666734376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 48.

The square root of 666734376 is about 25821.2001270274. The cubic root of 666734376 is about 873.6100385106.

The spelling of 666734376 in words is "six hundred sixty-six million, seven hundred thirty-four thousand, three hundred seventy-six".