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1328882214 = 2311176311877
BaseRepresentation
bin100111100110101…
…0010001000100110
310102121112012200210
41033031102020212
510210143212324
6335510320250
744634212112
oct11715221046
93377465623
101328882214
11622134970
12311059086
1318240b24a
14c86bc742
157b9e7d29
hex4f352226

1328882214 has 64 divisors (see below), whose sum is σ = 3076434432. Its totient is φ = 378201600.

The previous prime is 1328882213. The next prime is 1328882281. The reversal of 1328882214 is 4122888231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328882213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707044 + ... + 708920.

It is an arithmetic number, because the mean of its divisors is an integer number (48069288).

Almost surely, 21328882214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328882214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538217216).

1328882214 is an abundant number, since it is smaller than the sum of its proper divisors (1747552218).

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

1328882214 is a wasteful number, since it uses less digits than its factorization.

1328882214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541.

The product of its digits is 49152, while the sum is 39.

The square root of 1328882214 is about 36453.8367528029. The cubic root of 1328882214 is about 1099.4162781780.

The spelling of 1328882214 in words is "one billion, three hundred twenty-eight million, eight hundred eighty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 631 1122 1262 1877 1893 3754 3786 5631 6941 10727 11262 13882 20647 20823 21454 31909 32181 41294 41646 61941 63818 64362 95727 117997 123882 191454 235994 350999 353991 701998 707982 1052997 1184387 2105994 2368774 3553161 7106322 13028257 20134579 26056514 39084771 40269158 60403737 78169542 120807474 221480369 442960738 664441107 1328882214