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8346006438 = 2372112580707
BaseRepresentation
bin1111100010111010…
…11111001110100110
3210112122111001111120
413301131133032212
5114043034201223
63500055514410
7413551612200
oct76135371646
923478431446
108346006438
1135a3115190
12174b088a06
13a3012b663
14592615770
1533ca95be3
hex1f175f3a6

8346006438 has 48 divisors (see below), whose sum is σ = 21182451264. Its totient is φ = 2167793040.

The previous prime is 8346006433. The next prime is 8346006497.

8346006438 is nontrivially palindromic in base 10.

8346006438 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8346006438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8346006433) 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, 1287120 + ... + 1293587.

It is an arithmetic number, because the mean of its divisors is an integer number (441301068).

Almost surely, 28346006438 is an apocalyptic number.

8346006438 is an abundant number, since it is smaller than the sum of its proper divisors (12836444826).

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

8346006438 is a wasteful number, since it uses less digits than its factorization.

8346006438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580737 (or 2580730 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 8346006438 is about 91356.4800000525. The cubic root of 8346006438 is about 2028.4278830786.

The spelling of 8346006438 in words is "eight billion, three hundred forty-six million, six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 2580707 5161414 7742121 15484242 18064949 28387777 36129898 54194847 56775554 85163331 108389694 126454643 170326662 198714439 252909286 379363929 397428878 596143317 758727858 1192286634 1391001073 2782002146 4173003219 8346006438