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348981360 = 243571319292
BaseRepresentation
bin10100110011010…
…000100001110000
3220022200002102120
4110303100201300
51203314400420
654343514240
711435202240
oct2463204160
9808602376
10348981360
11169a99952
1298a58980
13573ba660
14344c3b20
1520986d40
hex14cd0870

348981360 has 480 divisors, whose sum is σ = 1451573760. Its totient is φ = 67350528.

The previous prime is 348981349. The next prime is 348981377. The reversal of 348981360 is 63189843.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12033826 + ... + 12033854.

It is an arithmetic number, because the mean of its divisors is an integer number (3024112).

Almost surely, 2348981360 is an apocalyptic number.

348981360 is a gapful number since it is divisible by the number (30) 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 348981360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725786880).

348981360 is an abundant number, since it is smaller than the sum of its proper divisors (1102592400).

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

348981360 is a wasteful number, since it uses less digits than its factorization.

348981360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 348981360 is about 18681.0427974458. The cubic root of 348981360 is about 704.0455269283.

The spelling of 348981360 in words is "three hundred forty-eight million, nine hundred eighty-one thousand, three hundred sixty".