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1350349056 = 283572443
BaseRepresentation
bin101000001111100…
…1011000100000000
310111002220211200000
41100133023010000
510231142132211
6341554400000
745314530500
oct12037130400
93432824600
101350349056
11633267261
12318290000
131869b6214
14cb4a9a00
157d838656
hex507cb100

1350349056 has 324 divisors, whose sum is σ = 4707389232. Its totient is φ = 384943104.

The previous prime is 1350349043. The next prime is 1350349087. The reversal of 1350349056 is 6509430531.

1350349056 is a `hidden beast` number, since 13 + 503 + 4 + 90 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×13503490562 = 3646885146080182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1350349056.

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 35 ways as a sum of consecutive naturals, for example, 3047971 + ... + 3048413.

Almost surely, 21350349056 is an apocalyptic number.

1350349056 is a gapful number since it is divisible by the number (16) 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 1350349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353694616).

1350349056 is an abundant number, since it is smaller than the sum of its proper divisors (3357040176).

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

1350349056 is an frugal number, since it uses more digits than its factorization.

1350349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1350349056 is about 36747.0958852533. The cubic root of 1350349056 is about 1105.3046957021.

Adding to 1350349056 its reverse (6509430531), we get a palindrome (7859779587).

The spelling of 1350349056 in words is "one billion, three hundred fifty million, three hundred forty-nine thousand, fifty-six".