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1338064 = 24713919
BaseRepresentation
bin101000110101011010000
32111222110221
411012223100
5320304224
644402424
714242030
oct5065320
92458427
101338064
11834342
12546414
1337b070
1426b8c0
151b66e4
hex146ad0

1338064 has 40 divisors (see below), whose sum is σ = 3194240. Its totient is φ = 528768.

The previous prime is 1338049. The next prime is 1338101. The reversal of 1338064 is 4608331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 997 + ... + 1915.

It is an arithmetic number, because the mean of its divisors is an integer number (79856).

21338064 is an apocalyptic number.

1338064 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 1338064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597120).

1338064 is an abundant number, since it is smaller than the sum of its proper divisors (1856176).

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

1338064 is a wasteful number, since it uses less digits than its factorization.

1338064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1338064 is about 1156.7471633853. The cubic root of 1338064 is about 110.1942572954.

Subtracting from 1338064 its product of nonzero digits (1728), we obtain a 4-th power (1336336 = 344).

The spelling of 1338064 in words is "one million, three hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 919 1456 1838 3676 6433 7352 11947 12866 14704 23894 25732 47788 51464 83629 95576 102928 167258 191152 334516 669032 1338064