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1348879896 = 2332713238951
BaseRepresentation
bin101000001100110…
…0100011000011000
310111000011012100200
41100121210120120
510230303124041
6341503102200
745266201310
oct12031443030
93430135320
101348879896
11632453481
123178a1960
131865c05b0
14cb206440
157d6481b6
hex50664618

1348879896 has 192 divisors, whose sum is σ = 4692280320. Its totient is φ = 340243200.

The previous prime is 1348879879. The next prime is 1348879897. The reversal of 1348879896 is 6989788431.

1348879896 is a `hidden beast` number, since 1 + 3 + 488 + 79 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (1348879897) 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, 146221 + ... + 155171.

It is an arithmetic number, because the mean of its divisors is an integer number (24438960).

Almost surely, 21348879896 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 1348879896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346140160).

1348879896 is an abundant number, since it is smaller than the sum of its proper divisors (3343400424).

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

1348879896 is a wasteful number, since it uses less digits than its factorization.

1348879896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 8999 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The square root of 1348879896 is about 36727.1002939246. The cubic root of 1348879896 is about 1104.9036984658.

The spelling of 1348879896 in words is "one billion, three hundred forty-eight million, eight hundred seventy-nine thousand, eight hundred ninety-six".