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2324341040 = 245715726437
BaseRepresentation
bin1000101010001010…
…1010000100110000
312222222122202111012
42022202222010300
514230012403130
61022350410052
7111412400330
oct21242520460
95888582435
102324341040
11a9303690a
1254a500928
132b0718438
141809a70c0
15d90cd995
hex8a8aa130

2324341040 has 80 divisors (see below), whose sum is σ = 6215679552. Its totient is φ = 791811072.

The previous prime is 2324341027. The next prime is 2324341051. The reversal of 2324341040 is 401434232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23243410402 = 10805122540456563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2324340997 and 2324341015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74702 + ... + 101138.

Almost surely, 22324341040 is an apocalyptic number.

2324341040 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 2324341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107839776).

2324341040 is an abundant number, since it is smaller than the sum of its proper divisors (3891338512).

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

2324341040 is a wasteful number, since it uses less digits than its factorization.

2324341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26614 (or 26608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2324341040 is about 48211.4202238432. The cubic root of 2324341040 is about 1324.6463591643.

Adding to 2324341040 its reverse (401434232), we get a palindrome (2725775272).

The spelling of 2324341040 in words is "two billion, three hundred twenty-four million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 157 280 314 560 628 785 1099 1256 1570 2198 2512 3140 4396 5495 6280 8792 10990 12560 17584 21980 26437 43960 52874 87920 105748 132185 185059 211496 264370 370118 422992 528740 740236 925295 1057480 1480472 1850590 2114960 2960944 3701180 4150609 7402360 8301218 14804720 16602436 20753045 29054263 33204872 41506090 58108526 66409744 83012180 116217052 145271315 166024360 232434104 290542630 332048720 464868208 581085260 1162170520 2324341040