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196729344 = 2933719107
BaseRepresentation
bin10111011100111…
…01101000000000
3111201011212221000
423232131220000
5400330314334
631304332000
74606112640
oct1356355000
9451155830
10196729344
11a1059739
1255a74000
13319b06c6
141c1b0520
1512410299
hexbb9da00

196729344 has 320 divisors, whose sum is σ = 707097600. Its totient is φ = 52752384.

The previous prime is 196729303. The next prime is 196729349. The reversal of 196729344 is 443927691.

It is a happy number.

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 196729344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196729349) 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 31 ways as a sum of consecutive naturals, for example, 1838539 + ... + 1838645.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2196729344 is an apocalyptic number.

196729344 is a gapful number since it is divisible by the number (14) 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 196729344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353548800).

196729344 is an abundant number, since it is smaller than the sum of its proper divisors (510368256).

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

196729344 is a wasteful number, since it uses less digits than its factorization.

196729344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 138 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 196729344 is about 14026.0238128987. The cubic root of 196729344 is about 581.5981922096.

The spelling of 196729344 in words is "one hundred ninety-six million, seven hundred twenty-nine thousand, three hundred forty-four".