Search a number
-
+
2343352460344 = 23761929738421
BaseRepresentation
bin100010000110011010101…
…100001110010000111000
322022000121021002001020121
4202012122230032100320
5301343141212212334
64552304331503024
7331205313156160
oct42063254162070
98260537061217
102343352460344
118238a0411205
1231a1a7bb7a74
1313cc91b64a7c
14815c15135a0
1540e51639db4
hex2219ab0e438

2343352460344 has 64 divisors (see below), whose sum is σ = 5109289502400. Its totient is φ = 986765414400.

The previous prime is 2343352460327. The next prime is 2343352460347. The reversal of 2343352460344 is 4430642533432.

It is a self number, because there is not a number n which added to its sum of digits gives 2343352460344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343352460347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2804254 + ... + 3542674.

It is an arithmetic number, because the mean of its divisors is an integer number (79832648475).

Almost surely, 22343352460344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343352460344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554644751200).

2343352460344 is an abundant number, since it is smaller than the sum of its proper divisors (2765937042056).

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

2343352460344 is a wasteful number, since it uses less digits than its factorization.

2343352460344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739424 (or 739420 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 43.

Adding to 2343352460344 its reverse (4430642533432), we get a palindrome (6773994993776).

The spelling of 2343352460344 in words is "two trillion, three hundred forty-three billion, three hundred fifty-two million, four hundred sixty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 929 1708 1858 3416 3716 6503 7432 13006 26012 52024 56669 113338 226676 396683 453352 738421 793366 1476842 1586732 2953684 3173464 5168947 5907368 10337894 20675788 41351576 45043681 90087362 180174724 315305767 360349448 630611534 685993109 1261223068 1371986218 2522446136 2743972436 4801951763 5487944872 9603903526 19207807052 38415614104 41845579649 83691159298 167382318596 292919057543 334764637192 585838115086 1171676230172 2343352460344