Search a number
-
+
834554214 = 2321319337557
BaseRepresentation
bin110001101111100…
…100100101100110
32011011100202011100
4301233210211212
53202121213324
6214451220530
726452410444
oct6157444546
92134322140
10834554214
113990a1a2a
121b35a7746
13103b90a80
147cba1b94
154d4004c9
hex31be4966

834554214 has 96 divisors (see below), whose sum is σ = 2059555680. Its totient is φ = 242113536.

The previous prime is 834554209. The next prime is 834554251. The reversal of 834554214 is 412455438.

It is a happy number.

834554214 is a `hidden beast` number, since 83 + 4 + 554 + 21 + 4 = 666.

It is a super-2 number, since 2×8345542142 = 1392961472210315592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1498024 + ... + 1498580.

It is an arithmetic number, because the mean of its divisors is an integer number (21453705).

Almost surely, 2834554214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834554214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029777840).

834554214 is an abundant number, since it is smaller than the sum of its proper divisors (1225001466).

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

834554214 is a wasteful number, since it uses less digits than its factorization.

834554214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 931 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 834554214 is about 28888.6519934731. The cubic root of 834554214 is about 941.4953617155.

The spelling of 834554214 in words is "eight hundred thirty-four million, five hundred fifty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 337 342 494 557 674 741 1011 1114 1482 1671 2022 2223 3033 3342 4381 4446 5013 6066 6403 7241 8762 10026 10583 12806 13143 14482 19209 21166 21723 26286 31749 38418 39429 43446 57627 63498 65169 78858 83239 95247 115254 130338 137579 166478 187709 190494 249717 275158 375418 412737 499434 563127 749151 825474 1126254 1238211 1498302 1689381 2440217 2476422 3378762 3566471 4880434 7132942 7320651 10699413 14641302 21398826 21961953 32098239 43923906 46364123 64196478 92728246 139092369 278184738 417277107 834554214