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1349229888 = 263217227607
BaseRepresentation
bin101000001101011…
…1001110101000000
310111000210222110100
41100122321311000
510230400324023
6341514402400
745302156556
oct12032716500
93430728410
101349229888
11632672426
12317a30400
131866b39a6
14cb297bd6
157d6b6c43
hex506b9d40

1349229888 has 168 divisors, whose sum is σ = 4119628032. Its totient is φ = 420728832.

The previous prime is 1349229883. The next prime is 1349229911. The reversal of 1349229888 is 8889229431.

1349229888 is a `hidden beast` number, since 1 + 349 + 2 + 298 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349229883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2222481 + ... + 2223087.

Almost surely, 21349229888 is an apocalyptic number.

1349229888 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 1349229888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059814016).

1349229888 is an abundant number, since it is smaller than the sum of its proper divisors (2770398144).

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

1349229888 is a wasteful number, since it uses less digits than its factorization.

1349229888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 856 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1349229888 is about 36731.8647498327. The cubic root of 1349229888 is about 1104.9992528130. Note that the first 3 decimals are identical.

The spelling of 1349229888 in words is "one billion, three hundred forty-nine million, two hundred twenty-nine thousand, eight hundred eighty-eight".