Search a number
-
+
2323640020 = 2251343307677
BaseRepresentation
bin1000101001111111…
…1110111011010100
312222221100010212111
42022133332323110
514224322440040
61022323400404
7111403420462
oct21237767324
95887303774
102323640020
11a926a8159
1254a223104
132b0531330
14180863832
15d8ee0dea
hex8a7feed4

2323640020 has 96 divisors (see below), whose sum is σ = 5402694528. Its totient is φ = 834043392.

The previous prime is 2323640009. The next prime is 2323640069. The reversal of 2323640020 is 200463232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2323639973 and 2323640000.

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, 3431922 + ... + 3432598.

It is an arithmetic number, because the mean of its divisors is an integer number (56278068).

Almost surely, 22323640020 is an apocalyptic number.

2323640020 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 2323640020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701347264).

2323640020 is an abundant number, since it is smaller than the sum of its proper divisors (3079054508).

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

2323640020 is a wasteful number, since it uses less digits than its factorization.

2323640020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2323640020 is about 48204.1494064567. The cubic root of 2323640020 is about 1324.5131748989.

The spelling of 2323640020 in words is "two billion, three hundred twenty-three million, six hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 307 430 559 614 677 860 1118 1228 1354 1535 2236 2708 2795 3070 3385 3991 5590 6140 6770 7982 8801 11180 13201 13540 15964 17602 19955 26402 29111 35204 39910 44005 52804 58222 66005 79820 88010 116444 132010 145555 171613 176020 207839 264020 291110 343226 378443 415678 582220 686452 756886 831356 858065 1039195 1513772 1716130 1892215 2078390 2701907 3432260 3784430 4156780 5403814 7568860 8937077 10807628 13509535 17874154 27019070 35748308 44685385 54038140 89370770 116182001 178741540 232364002 464728004 580910005 1161820010 2323640020