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1348637472 = 2533713171009
BaseRepresentation
bin101000001100010…
…1001001100100000
310110222200212211000
41100120221030200
510230222344342
6341453552000
745264141450
oct12030511440
93428625730
101348637472
116322a8326
123177a5600
13186537150
14cb181d60
157d5eb44c
hex50629320

1348637472 has 384 divisors, whose sum is σ = 5131123200. Its totient is φ = 334430208.

The previous prime is 1348637467. The next prime is 1348637473. The reversal of 1348637472 is 2747368431.

1348637472 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 637 + 4 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1348637473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1336104 + ... + 1337112.

It is an arithmetic number, because the mean of its divisors is an integer number (13362300).

Almost surely, 21348637472 is an apocalyptic number.

1348637472 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 1348637472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565561600).

1348637472 is an abundant number, since it is smaller than the sum of its proper divisors (3782485728).

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

1348637472 is a wasteful number, since it uses less digits than its factorization.

1348637472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1051 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 1348637472 is about 36723.7998033973. The cubic root of 1348637472 is about 1104.8375025000.

The spelling of 1348637472 in words is "one billion, three hundred forty-eight million, six hundred thirty-seven thousand, four hundred seventy-two".