Search a number
-
+
398871216 = 2434535807
BaseRepresentation
bin10111110001100…
…100101010110000
31000210112202110000
4113301210222300
51304102334331
6103325110000
712612230562
oct2761445260
91023482400
10398871216
11195174937
12b16b8300
1364837893
143ad8d332
152503e0e6
hex17c64ab0

398871216 has 100 divisors (see below), whose sum is σ = 1176433632. Its totient is φ = 130425984.

The previous prime is 398871149. The next prime is 398871223. The reversal of 398871216 is 612178893.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65785 + ... + 71591.

Almost surely, 2398871216 is an apocalyptic number.

398871216 is a gapful number since it is divisible by the number (36) 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 398871216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588216816).

398871216 is an abundant number, since it is smaller than the sum of its proper divisors (777562416).

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

398871216 is a wasteful number, since it uses less digits than its factorization.

398871216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5865 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 398871216 is about 19971.7604632141. The cubic root of 398871216 is about 736.1125674548.

The spelling of 398871216 in words is "three hundred ninety-eight million, eight hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2544 2862 3816 4293 5724 5807 7632 8586 11448 11614 17172 17421 22896 23228 34344 34842 46456 52263 68688 69684 92912 104526 139368 156789 209052 278736 307771 313578 418104 470367 615542 627156 836208 923313 940734 1231084 1254312 1846626 1881468 2462168 2508624 2769939 3693252 3762936 4924336 5539878 7386504 7525872 8309817 11079756 14773008 16619634 22159512 24929451 33239268 44319024 49858902 66478536 99717804 132957072 199435608 398871216