Search a number
-
+
354044387032 = 237411471104827
BaseRepresentation
bin1010010011011101011…
…00001001111011011000
31020211211221222100101021
411021232230021323120
521300040330341112
6430351251532224
734402356431050
oct5115654117330
91224757870337
10354044387032
11127170910176
12587488ba074
132750376164b
14131c8a5c560
159322145907
hex526eb09ed8

354044387032 has 64 divisors (see below), whose sum is σ = 777706352640. Its totient is φ = 147930451200.

The previous prime is 354044387027. The next prime is 354044387113. The reversal of 354044387032 is 230783440453.

It is a self number, because there is not a number n which added to its sum of digits gives 354044387032.

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, 3325003 + ... + 3429829.

It is an arithmetic number, because the mean of its divisors is an integer number (12151661760).

Almost surely, 2354044387032 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 354044387032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388853176320).

354044387032 is an abundant number, since it is smaller than the sum of its proper divisors (423661965608).

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

354044387032 is a wasteful number, since it uses less digits than its factorization.

354044387032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106352 (or 106348 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 354044387032 in words is "three hundred fifty-four billion, forty-four million, three hundred eighty-seven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 1471 2296 2942 5884 10297 11768 20594 41188 60311 82376 104827 120622 209654 241244 419308 422177 482488 733789 838616 844354 1467578 1688708 2935156 3377416 4297907 5870312 8595814 17191628 30085349 34383256 60170698 120341396 154200517 240682792 308401034 616802068 1079403619 1233604136 2158807238 4317614476 6322221197 8635228952 12644442394 25288884788 44255548379 50577769576 88511096758 177022193516 354044387032