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1348849152 = 2933753263
BaseRepresentation
bin101000001100101…
…1100111000000000
310111000002122012000
41100121130320000
510230301133102
6341502304000
745266012550
oct12031347000
93430078160
101348849152
11632432372
12317888000
131865ac5c1
14cb1d9160
157d63e01c
hex5065ce00

1348849152 has 320 divisors, whose sum is σ = 4666844160. Its totient is φ = 376676352.

The previous prime is 1348849133. The next prime is 1348849157. The reversal of 1348849152 is 2519488431.

1348849152 is a `hidden beast` number, since 1 + 34 + 88 + 491 + 52 = 666.

It is a super-2 number, since 2×13488491522 = 3638788069702238208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1348849098 and 1348849107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348849157) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5128573 + ... + 5128835.

It is an arithmetic number, because the mean of its divisors is an integer number (14583888).

Almost surely, 21348849152 is an apocalyptic number.

1348849152 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 1348849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333422080).

1348849152 is an abundant number, since it is smaller than the sum of its proper divisors (3317995008).

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

1348849152 is an equidigital number, since it uses as much as digits as its factorization.

1348849152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1348849152 is about 36726.6817450202. The cubic root of 1348849152 is about 1104.8953039904.

The spelling of 1348849152 in words is "one billion, three hundred forty-eight million, eight hundred forty-nine thousand, one hundred fifty-two".