Search a number
-
+
2326821336 = 233378318541
BaseRepresentation
bin1000101010110000…
…0111100111011000
320000011022202211000
42022230013213120
514231131240321
61022515505000
7111442440450
oct21254074730
96004282730
102326821336
11a94480344
1254b2b8160
132b10a6378
14181050d60
15d941d826
hex8ab079d8

2326821336 has 128 divisors (see below), whose sum is σ = 7476134400. Its totient is φ = 656760960.

The previous prime is 2326821323. The next prime is 2326821349. The reversal of 2326821336 is 6331286232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2326821323) and next prime (2326821349).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2326821336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116226 + ... + 134766.

It is an arithmetic number, because the mean of its divisors is an integer number (58407300).

Almost surely, 22326821336 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 2326821336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738067200).

2326821336 is an abundant number, since it is smaller than the sum of its proper divisors (5149313064).

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

2326821336 is a wasteful number, since it uses less digits than its factorization.

2326821336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18646 (or 18636 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2326821336 is about 48237.1364821752. The cubic root of 2326821336 is about 1325.1173667959.

The spelling of 2326821336 in words is "two billion, three hundred twenty-six million, eight hundred twenty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 83 84 108 126 166 168 189 216 249 252 332 378 498 504 581 664 747 756 996 1162 1494 1512 1743 1992 2241 2324 2988 3486 4482 4648 5229 5976 6972 8964 10458 13944 15687 17928 18541 20916 31374 37082 41832 55623 62748 74164 111246 125496 129787 148328 166869 222492 259574 333738 389361 444984 500607 519148 667476 778722 1001214 1038296 1168083 1334952 1538903 1557444 2002428 2336166 3077806 3114888 3504249 4004856 4616709 4672332 6155612 7008498 9233418 9344664 10772321 12311224 13850127 14016996 18466836 21544642 27700254 28033992 32316963 36933672 41550381 43089284 55400508 64633926 83100762 86178568 96950889 110801016 129267852 166201524 193901778 258535704 290852667 332403048 387803556 581705334 775607112 1163410668 2326821336