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1353341088 = 2533111311087
BaseRepresentation
bin101000010101010…
…0101100010100000
310111022112211222000
41100222211202200
510232423403323
6342142444000
745352131561
oct12052454240
93438484860
101353341088
11634a20210
12319293600
131874c3058
14cba48168
157dc29e43
hex50aa58a0

1353341088 has 192 divisors, whose sum is σ = 4342947840. Its totient is φ = 406598400.

The previous prime is 1353341071. The next prime is 1353341111. The reversal of 1353341088 is 8801433531.

1353341088 is a `hidden beast` number, since 1 + 3 + 533 + 41 + 0 + 88 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 1244481 + ... + 1245567.

It is an arithmetic number, because the mean of its divisors is an integer number (22619520).

Almost surely, 21353341088 is an apocalyptic number.

1353341088 is a gapful number since it is divisible by the number (18) 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 1353341088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171473920).

1353341088 is an abundant number, since it is smaller than the sum of its proper divisors (2989606752).

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

1353341088 is a wasteful number, since it uses less digits than its factorization.

1353341088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1353341088 is about 36787.7844943128. The cubic root of 1353341088 is about 1106.1204520519.

The spelling of 1353341088 in words is "one billion, three hundred fifty-three million, three hundred forty-one thousand, eighty-eight".