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1331471232 = 27327132977
BaseRepresentation
bin100111101011100…
…1010001110000000
310102210101202011100
41033113022032000
510211324034412
6340042014400
744665214220
oct11727121600
93383352140
101331471232
11623643053
12311aa7400
13182b06800
14c8b94080
157bd59edc
hex4f5ca380

1331471232 has 288 divisors, whose sum is σ = 4746390480. Its totient is φ = 350797824.

The previous prime is 1331471209. The next prime is 1331471243. The reversal of 1331471232 is 2321741331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1331471196 and 1331471205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1362328 + ... + 1363304.

Almost surely, 21331471232 is an apocalyptic number.

1331471232 is a gapful number since it is divisible by the number (12) 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 1331471232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373195240).

1331471232 is an abundant number, since it is smaller than the sum of its proper divisors (3414919248).

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

1331471232 is a wasteful number, since it uses less digits than its factorization.

1331471232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1002 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 1331471232 is about 36489.3303857443. The cubic root of 1331471232 is about 1100.1298006608.

The spelling of 1331471232 in words is "one billion, three hundred thirty-one million, four hundred seventy-one thousand, two hundred thirty-two".