Search a number
-
+
2321423400 = 233529739887
BaseRepresentation
bin1000101001011110…
…0001110000101000
312222210011112020110
42022113201300220
514223241022100
61022204054320
7111345526152
oct21227416050
95883145213
102321423400
11a9142383a
125495343a0
132acc3641a
14180447ad2
15d8c04250
hex8a5e1c28

2321423400 has 96 divisors (see below), whose sum is σ = 7270784640. Its totient is φ = 612648960.

The previous prime is 2321423393. The next prime is 2321423411. The reversal of 2321423400 is 43241232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38257 + ... + 78143.

It is an arithmetic number, because the mean of its divisors is an integer number (75737340).

Almost surely, 22321423400 is an apocalyptic number.

2321423400 is a gapful number since it is divisible by the number (20) 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 2321423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635392320).

2321423400 is an abundant number, since it is smaller than the sum of its proper divisors (4949361240).

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

2321423400 is a wasteful number, since it uses less digits than its factorization.

2321423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40003 (or 39994 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2321423400 is about 48181.1519164912. The cubic root of 2321423400 is about 1324.0918709050.

Adding to 2321423400 its reverse (43241232), we get a palindrome (2364664632).

The spelling of 2321423400 in words is "two billion, three hundred twenty-one million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 970 1164 1455 1940 2328 2425 2910 3880 4850 5820 7275 9700 11640 14550 19400 29100 39887 58200 79774 119661 159548 199435 239322 319096 398870 478644 598305 797740 957288 997175 1196610 1595480 1994350 2393220 2991525 3869039 3988700 4786440 5983050 7738078 7977400 11607117 11966100 15476156 19345195 23214234 23932200 30952312 38690390 46428468 58035585 77380780 92856936 96725975 116071170 154761560 193451950 232142340 290177925 386903900 464284680 580355850 773807800 1160711700 2321423400