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1145346048 = 21133711269
BaseRepresentation
bin100010001000100…
…1001100000000000
32221211011121102000
41010101021200000
54321202033143
6305352424000
740245165210
oct10421114000
92854147360
101145346048
11538577490
1227b6a8000
13153399972
14ac184240
156a841bd3
hex44449800

1145346048 has 384 divisors, whose sum is σ = 4245696000. Its totient is φ = 296386560.

The previous prime is 1145346047. The next prime is 1145346067. The reversal of 1145346048 is 8406435411.

1145346048 is a `hidden beast` number, since 1 + 1 + 45 + 3 + 4 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145346047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257658 + ... + 4257926.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 21145346048 is an apocalyptic number.

1145346048 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 1145346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122848000).

1145346048 is an abundant number, since it is smaller than the sum of its proper divisors (3100349952).

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

1145346048 is a wasteful number, since it uses less digits than its factorization.

1145346048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1145346048 is about 33842.9615725338. The cubic root of 1145346048 is about 1046.2743389207.

The spelling of 1145346048 in words is "one billion, one hundred forty-five million, three hundred forty-six thousand, forty-eight".