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1348199424 = 210331121331
BaseRepresentation
bin101000001011011…
…1110010000000000
310110221212121221000
41100112332100000
510230114340144
6341440332000
745260335365
oct12026762000
93427777830
101348199424
11632029200
12317614000
13186412950
14cb0aa46c
157d561769
hex505be400

1348199424 has 528 divisors, whose sum is σ = 4878737920. Its totient is φ = 364953600.

The previous prime is 1348199407. The next prime is 1348199429. The reversal of 1348199424 is 4249918431.

1348199424 is a `hidden beast` number, since 1 + 34 + 8 + 199 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1348199424.

It is not an unprimeable number, because it can be changed into a prime (1348199429) 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 47 ways as a sum of consecutive naturals, for example, 43490289 + ... + 43490319.

Almost surely, 21348199424 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 1348199424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439368960).

1348199424 is an abundant number, since it is smaller than the sum of its proper divisors (3530538496).

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

1348199424 is a wasteful number, since it uses less digits than its factorization.

1348199424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1348199424 is about 36717.8352303074. The cubic root of 1348199424 is about 1104.7178695922.

The spelling of 1348199424 in words is "one billion, three hundred forty-eight million, one hundred ninety-nine thousand, four hundred twenty-four".