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2312033040 = 243253738609
BaseRepresentation
bin1000100111001110…
…1101001100010000
312222010111110002100
42021303231030100
514213340024130
61021230520400
7111202646052
oct21163551420
95863443070
102312033040
11a8709a709
12546366100
132aacc91b5
1417d0c18d2
15d7e9bc60
hex89ced310

2312033040 has 120 divisors (see below), whose sum is σ = 7786298520. Its totient is φ = 614817792.

The previous prime is 2312033021. The next prime is 2312033047. The reversal of 2312033040 is 403302132.

It can be written as a sum of positive squares in 4 ways, for example, as 95883264 + 2216149776 = 9792^2 + 47076^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2312033047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264256 + ... + 272864.

It is an arithmetic number, because the mean of its divisors is an integer number (64885821).

Almost surely, 22312033040 is an apocalyptic number.

2312033040 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 2312033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893149260).

2312033040 is an abundant number, since it is smaller than the sum of its proper divisors (5474265480).

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

2312033040 is a wasteful number, since it uses less digits than its factorization.

2312033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2312033040 is about 48083.6046901644. The cubic root of 2312033040 is about 1322.3041024966.

Adding to 2312033040 its reverse (403302132), we get a palindrome (2715335172).

The spelling of 2312033040 in words is "two billion, three hundred twelve million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 373 720 746 1119 1492 1865 2238 2984 3357 3730 4476 5595 5968 6714 7460 8609 8952 11190 13428 14920 16785 17218 17904 22380 25827 26856 29840 33570 34436 43045 44760 51654 53712 67140 68872 77481 86090 89520 103308 129135 134280 137744 154962 172180 206616 258270 268560 309924 344360 387405 413232 516540 619848 688720 774810 1033080 1239696 1549620 2066160 3099240 3211157 6198480 6422314 9633471 12844628 16055785 19266942 25689256 28900413 32111570 38533884 48167355 51378512 57800826 64223140 77067768 96334710 115601652 128446280 144502065 154135536 192669420 231203304 256892560 289004130 385338840 462406608 578008260 770677680 1156016520 2312033040