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1329834216 = 233199383727
BaseRepresentation
bin100111101000011…
…1010100011101000
310102200022120121010
41033100322203220
510210414143331
6335542543520
744645255454
oct11720724350
93380276533
101329834216
11622725147
12311437ba0
13182682669
14c8889664
157bb34e46
hex4f43a8e8

1329834216 has 64 divisors (see below), whose sum is σ = 3354624000. Its totient is φ = 439293888.

The previous prime is 1329834167. The next prime is 1329834223. The reversal of 1329834216 is 6124389231.

1329834216 = T208 + T209 + ... + T1998.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1828845 + ... + 1829571.

It is an arithmetic number, because the mean of its divisors is an integer number (52416000).

Almost surely, 21329834216 is an apocalyptic number.

It is an amenable number.

1329834216 is an abundant number, since it is smaller than the sum of its proper divisors (2024789784).

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

1329834216 is a wasteful number, since it uses less digits than its factorization.

1329834216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1314 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 1329834216 is about 36466.8920529293. The cubic root of 1329834216 is about 1099.6787535745.

The spelling of 1329834216 in words is "one billion, three hundred twenty-nine million, eight hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 199 383 398 597 727 766 796 1149 1194 1454 1532 1592 2181 2298 2388 2908 3064 4362 4596 4776 5816 8724 9192 17448 76217 144673 152434 228651 278441 289346 304868 434019 457302 556882 578692 609736 835323 868038 914604 1113764 1157384 1670646 1736076 1829208 2227528 3341292 3472152 6682584 55409759 110819518 166229277 221639036 332458554 443278072 664917108 1329834216