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1327381648 = 241912734381
BaseRepresentation
bin100111100011110…
…0011110010010000
310102111200222022021
41033013203302100
510204302203043
6335414221224
744615362225
oct11707436220
93374628267
101327381648
116212aa52a
12310654814
13182004238
14c840b94c
157b7ed3ed
hex4f1e3c90

1327381648 has 40 divisors (see below), whose sum is σ = 2728555520. Its totient is φ = 623790720.

The previous prime is 1327381633. The next prime is 1327381651. The reversal of 1327381648 is 8461837231.

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, 21418 + ... + 55798.

It is an arithmetic number, because the mean of its divisors is an integer number (68213888).

Almost surely, 21327381648 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 1327381648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364277760).

1327381648 is an abundant number, since it is smaller than the sum of its proper divisors (1401173872).

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

1327381648 is a wasteful number, since it uses less digits than its factorization.

1327381648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34535 (or 34529 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 1327381648 is about 36433.2492100279. The cubic root of 1327381648 is about 1099.0023041827.

The spelling of 1327381648 in words is "one billion, three hundred twenty-seven million, three hundred eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 76 127 152 254 304 508 1016 2032 2413 4826 9652 19304 34381 38608 68762 137524 275048 550096 653239 1306478 2612956 4366387 5225912 8732774 10451824 17465548 34931096 69862192 82961353 165922706 331845412 663690824 1327381648