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381270032 = 241121315149
BaseRepresentation
bin10110101110011…
…011100000010000
3222120102112011022
4112232123200100
51240101120112
6101455535012
712306512303
oct2656334020
9876375138
10381270032
11186242900
12a782a468
1360cb4290
14388cab3a
1523713d72
hex16b9b810

381270032 has 60 divisors (see below), whose sum is σ = 874488300. Its totient is φ = 159962880.

The previous prime is 381270031. The next prime is 381270079. The reversal of 381270032 is 230072183.

It can be written as a sum of positive squares in 2 ways, for example, as 156150016 + 225120016 = 12496^2 + 15004^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 381269983 and 381270010.

It is not an unprimeable number, because it can be changed into a prime (381270031) 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 11 ways as a sum of consecutive naturals, for example, 17594 + ... + 32742.

It is an arithmetic number, because the mean of its divisors is an integer number (14574805).

Almost surely, 2381270032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381270032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437244150).

381270032 is an abundant number, since it is smaller than the sum of its proper divisors (493218268).

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

381270032 is a wasteful number, since it uses less digits than its factorization.

381270032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192 (or 15175 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 381270032 is about 19526.1371499844. The cubic root of 381270032 is about 725.1216804090.

The spelling of 381270032 in words is "three hundred eighty-one million, two hundred seventy thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1144 1573 1936 2288 3146 6292 12584 15149 25168 30298 60596 121192 166639 196937 242384 333278 393874 666556 787748 1333112 1575496 1833029 2166307 2666224 3150992 3666058 4332614 7332116 8665228 14664232 17330456 23829377 29328464 34660912 47658754 95317508 190635016 381270032