Search a number
-
+
2323433136 = 2432329312341
BaseRepresentation
bin1000101001111100…
…1100011010110000
312222220221122002010
42022133030122300
514224244330021
61022315122520
7111401566353
oct21237143260
95886848063
102323433136
11a92576782
1254a143440
132b048b10b
1418080c29a
15d8e9e976
hex8a7cc6b0

2323433136 has 160 divisors (see below), whose sum is σ = 6691000320. Its totient is φ = 691891200.

The previous prime is 2323433111. The next prime is 2323433137. The reversal of 2323433136 is 6313343232.

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

It is not an unprimeable number, because it can be changed into a prime (2323433137) 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, 991326 + ... + 993666.

It is an arithmetic number, because the mean of its divisors is an integer number (41818752).

Almost surely, 22323433136 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 2323433136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345500160).

2323433136 is an abundant number, since it is smaller than the sum of its proper divisors (4367567184).

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

2323433136 is a wasteful number, since it uses less digits than its factorization.

2323433136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2429 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

The square root of 2323433136 is about 48202.0034438404. The cubic root of 2323433136 is about 1324.4738646337.

Adding to 2323433136 its reverse (6313343232), we get a palindrome (8636776368).

The spelling of 2323433136 in words is "two billion, three hundred twenty-three million, four hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 31 46 48 58 62 69 87 92 93 116 124 138 174 184 186 232 248 276 348 368 372 464 496 552 667 696 713 744 899 1104 1334 1392 1426 1488 1798 2001 2139 2341 2668 2697 2852 3596 4002 4278 4682 5336 5394 5704 7023 7192 8004 8556 9364 10672 10788 11408 14046 14384 16008 17112 18728 20677 21576 28092 32016 34224 37456 41354 43152 53843 56184 62031 67889 72571 82708 107686 112368 124062 135778 145142 161529 165416 203667 215372 217713 248124 271556 290284 323058 330832 407334 430744 435426 496248 543112 580568 646116 814668 861488 870852 992496 1086224 1161136 1292232 1561447 1629336 1669133 1741704 2104559 2584464 3122894 3258672 3338266 3483408 4209118 4684341 5007399 6245788 6313677 6676532 8418236 9368682 10014798 12491576 12627354 13353064 16836472 18737364 20029596 24983152 25254708 26706128 33672944 37474728 40059192 48404857 50509416 74949456 80118384 96809714 101018832 145214571 193619428 290429142 387238856 580858284 774477712 1161716568 2323433136