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1303289064 = 2332721124371
BaseRepresentation
bin100110110101110…
…1001110011101000
310100211100221111100
41031223221303220
510132120222224
6333154001400
744203526400
oct11553516350
93324327440
101303289064
11609744400
12304576260
1317a01a07c
14c5139800
157963eac9
hex4dae9ce8

1303289064 has 432 divisors, whose sum is σ = 4683238560. Its totient is φ = 325987200.

The previous prime is 1303289063. The next prime is 1303289101. The reversal of 1303289064 is 4609823031.

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 (1303289063) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 18356149 + ... + 18356219.

It is an arithmetic number, because the mean of its divisors is an integer number (10840830).

Almost surely, 21303289064 is an apocalyptic number.

1303289064 is a gapful number since it is divisible by the number (14) 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 1303289064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341619280).

1303289064 is an abundant number, since it is smaller than the sum of its proper divisors (3379949496).

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

1303289064 is a wasteful number, since it uses less digits than its factorization.

1303289064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1303289064 is about 36101.0950526435. The cubic root of 1303289064 is about 1092.3125338175.

The spelling of 1303289064 in words is "one billion, three hundred three million, two hundred eighty-nine thousand, sixty-four".