Search a number
-
+
2313324020 = 2257472391471
BaseRepresentation
bin1000100111100010…
…1000010111110100
312222012221000222102
42021320220113310
514214202332040
61021314321232
7111216633620
oct21170502764
95865830872
102313324020
11a878a1637
12546889218
132ab35b9a7
1417d33a180
15d8154515
hex89e285f4

2313324020 has 96 divisors (see below), whose sum is σ = 5697699840. Its totient is φ = 772490880.

The previous prime is 2313324001. The next prime is 2313324047. The reversal of 2313324020 is 204233132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2313323983 and 2313324001.

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, 1571885 + ... + 1573355.

It is an arithmetic number, because the mean of its divisors is an integer number (59351040).

Almost surely, 22313324020 is an apocalyptic number.

2313324020 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 2313324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848849920).

2313324020 is an abundant number, since it is smaller than the sum of its proper divisors (3384375820).

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

2313324020 is a wasteful number, since it uses less digits than its factorization.

2313324020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2313324020 is about 48097.0271430574. The cubic root of 2313324020 is about 1322.5501702778.

Adding to 2313324020 its reverse (204233132), we get a palindrome (2517557152).

The spelling of 2313324020 in words is "two billion, three hundred thirteen million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 239 329 470 478 658 940 956 1195 1316 1471 1645 1673 2390 2942 3290 3346 4780 5884 6580 6692 7355 8365 10297 11233 14710 16730 20594 22466 29420 33460 41188 44932 51485 56165 69137 78631 102970 112330 138274 157262 205940 224660 276548 314524 345685 351569 393155 483959 691370 703138 786310 967918 1382740 1406276 1572620 1757845 1935836 2419795 2460983 3515690 4839590 4921966 7031380 9679180 9843932 12304915 16523743 24609830 33047486 49219660 66094972 82618715 115666201 165237430 231332402 330474860 462664804 578331005 1156662010 2313324020