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3134432196 = 223272312432
BaseRepresentation
bin1011101011010011…
…1010001111000100
322002102222122122100
42322310322033010
522404403312241
61235005432100
7140450143200
oct27264721704
98072878570
103134432196
11136933a335
1273586b630
133ac4c250c
1421a3dbb00
1513529a9b6
hexbad3a3c4

3134432196 has 243 divisors, whose sum is σ = 9750258063. Its totient is φ = 846508320.

The previous prime is 3134432183. The next prime is 3134432221. The reversal of 3134432196 is 6912344313.

The square root of 3134432196 is 55986.

It is a perfect power (a square), and thus also a powerful number.

3134432196 is a `hidden beast` number, since 3 + 1 + 34 + 432 + 196 = 666.

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

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 3134432196.

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 80 ways as a sum of consecutive naturals, for example, 72893751 + ... + 72893793.

Almost surely, 23134432196 is an apocalyptic number.

3134432196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3134432196 is the 55986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134432196

3134432196 is an abundant number, since it is smaller than the sum of its proper divisors (6615825867).

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

3134432196 is a wasteful number, since it uses less digits than its factorization.

3134432196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The cubic root of 3134432196 is about 1463.4783201293.

Multiplying 3134432196 by its sum of digits (36), we get a square (112839559056 = 3359162).

3134432196 divided by its sum of digits (36) gives a square (87067561 = 93312).

Multiplying 3134432196 by its product of digits (46656), we get a square (146240068536576 = 120929762).

The spelling of 3134432196 in words is "three billion, one hundred thirty-four million, four hundred thirty-two thousand, one hundred ninety-six".