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1123449768 = 233279532339
BaseRepresentation
bin100001011110110…
…0111101110101000
32220021222011100200
41002331213232220
54300100343033
6303251232200
736561110520
oct10275475650
92807864320
101123449768
11527181491
122742a8660
1314b9a139c
14a92c4680
1568969013
hex42f67ba8

1123449768 has 96 divisors (see below), whose sum is σ = 3482481600. Its totient is φ = 320511744.

The previous prime is 1123449751. The next prime is 1123449773. The reversal of 1123449768 is 8679443211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479143 + ... + 481481.

It is an arithmetic number, because the mean of its divisors is an integer number (36275850).

Almost surely, 21123449768 is an apocalyptic number.

1123449768 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 1123449768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741240800).

1123449768 is an abundant number, since it is smaller than the sum of its proper divisors (2359031832).

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

1123449768 is a wasteful number, since it uses less digits than its factorization.

1123449768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3304 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1123449768 is about 33517.9022016593. The cubic root of 1123449768 is about 1039.5639715563.

The spelling of 1123449768 in words is "one billion, one hundred twenty-three million, four hundred forty-nine thousand, seven hundred sixty-eight".