Search a number
-
+
2304410032340 = 22513411811194329
BaseRepresentation
bin100001100010001001100…
…010101001100011010100
322011022002022000201210022
4201202021202221203110
5300223412432013330
64522344212244312
7325326300041513
oct41421142514324
98138068021708
102304410032340
11809327429709
1231273a310698
131393c6c29470
147d76959c67a
153ee22907ae5
hex218898a98d4

2304410032340 has 96 divisors (see below), whose sum is σ = 5368121609760. Its totient is φ = 825519513600.

The previous prime is 2304410032333. The next prime is 2304410032357. The reversal of 2304410032340 is 432300144032.

It can be written as a sum of positive squares in 16 ways, for example, as 2156674347844 + 147735684496 = 1468562^2 + 384364^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1332296 + ... + 2526624.

It is an arithmetic number, because the mean of its divisors is an integer number (55917933435).

Almost surely, 22304410032340 is an apocalyptic number.

2304410032340 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 2304410032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684060804880).

2304410032340 is an abundant number, since it is smaller than the sum of its proper divisors (3063711577420).

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

2304410032340 is a wasteful number, since it uses less digits than its factorization.

2304410032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194573 (or 1194571 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 2304410032340 its reverse (432300144032), we get a palindrome (2736710176372).

The spelling of 2304410032340 in words is "two trillion, three hundred four billion, four hundred ten million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 181 205 260 362 410 533 724 820 905 1066 1810 2132 2353 2665 3620 4706 5330 7421 9412 10660 11765 14842 23530 29684 37105 47060 74210 96473 148420 192946 385892 482365 964730 1194329 1929460 2388658 4777316 5971645 11943290 15526277 23886580 31052554 48967489 62105108 77631385 97934978 155262770 195869956 216173549 244837445 310525540 432347098 489674890 636577357 864694196 979349780 1080867745 1273154714 2161735490 2546309428 2810256137 3182886785 4323470980 5620512274 6365773570 8863115509 11241024548 12731547140 14051280685 17726231018 28102561370 35452462036 44315577545 56205122740 88631155090 115220501617 177262310180 230441003234 460882006468 576102508085 1152205016170 2304410032340