Search a number
-
+
3406342310424 = 233339451399739
BaseRepresentation
bin110001100100011001110…
…100101100101000011000
3110001122100212000101202000
4301210121310230220120
5421302142112413144
611124504013241000
7501046223623044
oct61443164545030
913048325011660
103406342310424
1110a3692481839
12470209193160
131b92a812a141
14bac21533024
155d917d40769
hex31919d2ca18

3406342310424 has 64 divisors (see below), whose sum is σ = 9462325488000. Its totient is φ = 1135415815200.

The previous prime is 3406342310387. The next prime is 3406342310431. The reversal of 3406342310424 is 4240132436043.

3406342310424 is a `hidden beast` number, since 3 + 4 + 0 + 634 + 2 + 3 + 10 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8321547 + ... + 8721285.

It is an arithmetic number, because the mean of its divisors is an integer number (147848835750).

Almost surely, 23406342310424 is an apocalyptic number.

It is an amenable number.

3406342310424 is an abundant number, since it is smaller than the sum of its proper divisors (6055983177576).

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

3406342310424 is a wasteful number, since it uses less digits than its factorization.

3406342310424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439205 (or 439195 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 3406342310424 its reverse (4240132436043), we get a palindrome (7646474746467).

The spelling of 3406342310424 in words is "three trillion, four hundred six billion, three hundred forty-two million, three hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 39451 78902 118353 157804 236706 315608 355059 399739 473412 710118 799478 946824 1065177 1199217 1420236 1598956 2130354 2398434 2840472 3197912 3597651 4260708 4796868 7195302 8521416 9593736 10792953 14390604 21585906 28781208 43171812 86343624 15770103289 31540206578 47310309867 63080413156 94620619734 126160826312 141930929601 189241239468 283861859202 378482478936 425792788803 567723718404 851585577606 1135447436808 1703171155212 3406342310424