Search a number
-
+
834484248 = 233313476323
BaseRepresentation
bin110001101111010…
…011100000011000
32011011020012012000
4301233103200120
53202111443443
6214445521000
726451666453
oct6157234030
92134205160
10834484248
11399054404
121b3573160
13103b67c80
147cb8449a
154d3d98d3
hex31bd3818

834484248 has 128 divisors (see below), whose sum is σ = 2549836800. Its totient is φ = 251261568.

The previous prime is 834484247. The next prime is 834484289. The reversal of 834484248 is 842484438.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834484247) 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, 128815 + ... + 135137.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2834484248 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 834484248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

834484248 is an abundant number, since it is smaller than the sum of its proper divisors (1715352552).

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

834484248 is a wasteful number, since it uses less digits than its factorization.

834484248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6388 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 834484248 is about 28887.4410081613. The cubic root of 834484248 is about 941.4690504608.

The spelling of 834484248 in words is "eight hundred thirty-four million, four hundred eighty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 47 52 54 72 78 94 104 108 117 141 156 188 216 234 282 312 351 376 423 468 564 611 702 846 936 1128 1222 1269 1404 1692 1833 2444 2538 2808 3384 3666 4888 5076 5499 6323 7332 10152 10998 12646 14664 16497 18969 21996 25292 32994 37938 43992 50584 56907 65988 75876 82199 113814 131976 151752 164398 170721 227628 246597 297181 328796 341442 455256 493194 594362 657592 682884 739791 891543 986388 1188724 1365768 1479582 1783086 1972776 2219373 2377448 2674629 2959164 3566172 3863353 4438746 5349258 5918328 7132344 7726706 8023887 8877492 10698516 11590059 15453412 16047774 17754984 21397032 23180118 30906824 32095548 34770177 46360236 64191096 69540354 92720472 104310531 139080708 208621062 278161416 417242124 834484248