Search a number
-
+
9820440312 = 2336710757077
BaseRepresentation
bin10010010010101100…
…00000011011111000
3221100101220001112120
421021112000123320
5130103013042222
64302250041240
7465234236214
oct111126003370
927311801476
109820440312
11418a423181
121aa0a19220
13c0673bb37
14692381944
153c724015c
hex2495806f8

9820440312 has 64 divisors (see below), whose sum is σ = 25150849920. Its totient is φ = 3194429568.

The previous prime is 9820440299. The next prime is 9820440313. The reversal of 9820440312 is 2130440289.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9820440313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143518 + ... + 200594.

It is an arithmetic number, because the mean of its divisors is an integer number (392982030).

Almost surely, 29820440312 is an apocalyptic number.

It is an amenable number.

9820440312 is an abundant number, since it is smaller than the sum of its proper divisors (15330409608).

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

9820440312 is a wasteful number, since it uses less digits than its factorization.

9820440312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57260 (or 57256 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 9820440312 is about 99098.1347554029. The cubic root of 9820440312 is about 2141.4617427515.

The spelling of 9820440312 in words is "nine billion, eight hundred twenty million, four hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 67 107 134 201 214 268 321 402 428 536 642 804 856 1284 1608 2568 7169 14338 21507 28676 43014 57077 57352 86028 114154 171231 172056 228308 342462 456616 684924 1369848 3824159 6107239 7648318 11472477 12214478 15296636 18321717 22944954 24428956 30593272 36643434 45889908 48857912 73286868 91779816 146573736 409185013 818370026 1227555039 1636740052 2455110078 3273480104 4910220156 9820440312