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4340324420404 = 2272131431392209
BaseRepresentation
bin111111001010001111011…
…111101100101100110100
3120100221010200010112022021
4333022033133230230310
51032102441022423104
613121530103242524
7625402166565400
oct77121737545464
916327120115267
104340324420404
1114237a2a8a845
125a1225a49444
132563a1c77b1b
14110103b7c100
1577d7d885754
hex3f28f7ecb34

4340324420404 has 72 divisors (see below), whose sum is σ = 8923787832960. Its totient is φ = 1841651884800.

The previous prime is 4340324420401. The next prime is 4340324420423. The reversal of 4340324420404 is 4040244230434.

It is a self number, because there is not a number n which added to its sum of digits gives 4340324420404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340324420401) 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, 10870252 + ... + 11262460.

It is an arithmetic number, because the mean of its divisors is an integer number (123941497680).

Almost surely, 24340324420404 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 4340324420404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461893916480).

4340324420404 is an abundant number, since it is smaller than the sum of its proper divisors (4583463412556).

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

4340324420404 is a wasteful number, since it uses less digits than its factorization.

4340324420404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392789 (or 392780 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 4340324420404 its reverse (4040244230434), we get a palindrome (8380568650838).

The spelling of 4340324420404 in words is "four trillion, three hundred forty billion, three hundred twenty-four million, four hundred twenty thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 131 196 262 431 524 862 917 1724 1834 3017 3668 6034 6419 12068 12838 21119 25676 42238 56461 84476 112922 225844 392209 395227 784418 790454 1568836 1580908 2745463 2766589 5490926 5533178 10981852 11066356 19218241 38436482 51379379 76872964 102758758 169042079 205517516 338084158 359655653 676168316 719311306 1183294553 1438622612 2366589106 2517589571 4733178212 5035179142 8283061871 10070358284 16566123742 22144512349 33132247484 44289024698 88578049396 155011586443 310023172886 620046345772 1085081105101 2170162210202 4340324420404