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2032297344 = 273372111091
BaseRepresentation
bin111100100100010…
…0110010110000000
312020122010101212000
41321020212112000
513130232003334
6533355104000
7101235146100
oct17110462600
95218111760
102032297344
119531a7090
12488742000
13265074c0c
14153ca5200
15bd642299
hex79226580

2032297344 has 384 divisors, whose sum is σ = 7618665600. Its totient is φ = 527385600.

The previous prime is 2032297339. The next prime is 2032297363. The reversal of 2032297344 is 4437922302.

It is a happy number.

2032297344 is a `hidden beast` number, since 20 + 3 + 2 + 297 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 2032297299 and 2032297308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1862239 + ... + 1863329.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 22032297344 is an apocalyptic number.

2032297344 is a gapful number since it is divisible by the number (24) 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 2032297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809332800).

2032297344 is an abundant number, since it is smaller than the sum of its proper divisors (5586368256).

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

2032297344 is a wasteful number, since it uses less digits than its factorization.

2032297344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2032297344 is about 45081.0086843673. The cubic root of 2032297344 is about 1266.6668843336. Note that the first 3 decimals are identical.

The spelling of 2032297344 in words is "two billion, thirty-two million, two hundred ninety-seven thousand, three hundred forty-four".