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1348618752 = 29321347479
BaseRepresentation
bin101000001100010…
…0100101000000000
310110222122221010200
41100120210220000
510230221300002
6341453325200
745264033045
oct12030445000
93428587120
101348618752
11632295258
12317796800
1318652b780
14cb1791cc
157d5e5b1c
hex50624a00

1348618752 has 240 divisors, whose sum is σ = 4289725440. Its totient is φ = 405282816.

The previous prime is 1348618729. The next prime is 1348618753. The reversal of 1348618752 is 2578168431.

It is a junction number, because it is equal to n+sod(n) for n = 1348618698 and 1348618707.

It is not an unprimeable number, because it can be changed into a prime (1348618753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2815249 + ... + 2815727.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 21348618752 is an apocalyptic number.

1348618752 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 1348618752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144862720).

1348618752 is an abundant number, since it is smaller than the sum of its proper divisors (2941106688).

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

1348618752 is a wasteful number, since it uses less digits than its factorization.

1348618752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 544 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1348618752 is about 36723.5449269266. The cubic root of 1348618752 is about 1104.8323905125.

The spelling of 1348618752 in words is "one billion, three hundred forty-eight million, six hundred eighteen thousand, seven hundred fifty-two".