Search a number
-
+
354227000328 = 233231318678419
BaseRepresentation
bin1010010011110011001…
…00110001010000001000
31020212022200121001201200
411021321210301100020
521300424103002303
6430421333544200
734410034552245
oct5117144612010
91225280531650
10354227000328
111272549a8253
1258799aa5060
132753253bb56
1413204dd65cc
1593331b83a3
hex5279931408

354227000328 has 96 divisors (see below), whose sum is σ = 963059728800. Its totient is φ = 117621414144.

The previous prime is 354227000287. The next prime is 354227000339. The reversal of 354227000328 is 823000722453.

354227000328 is a `hidden beast` number, since 354 + 2 + 270 + 0 + 0 + 32 + 8 = 666.

It is a super-3 number, since 3×3542270003283 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 354227000328 = 4373 + 70753 = 53123 + 58903.

It is a junction number, because it is equal to n+sod(n) for n = 354227000292 and 354227000301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42070503 + ... + 42078921.

It is an arithmetic number, because the mean of its divisors is an integer number (10031872175).

Almost surely, 2354227000328 is an apocalyptic number.

It is an amenable number.

354227000328 is an abundant number, since it is smaller than the sum of its proper divisors (608832728472).

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

354227000328 is a wasteful number, since it uses less digits than its factorization.

354227000328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611 (or 10604 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 354227000328 in words is "three hundred fifty-four billion, two hundred twenty-seven million, three hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 313 626 939 1252 1867 1878 2504 2817 3734 3756 5601 5634 7468 7512 8419 11202 11268 14936 16803 16838 22404 22536 25257 33606 33676 44808 50514 67212 67352 75771 101028 134424 151542 202056 303084 584371 606168 1168742 1753113 2337484 2635147 3506226 4674968 5259339 5270294 7012452 7905441 10518678 10540588 14024904 15718273 15810882 21037356 21081176 23716323 31436546 31621764 42074712 47154819 47432646 62873092 63243528 94309638 94865292 125746184 141464457 188619276 189730584 282928914 377238552 565857828 1131715656 4919819449 9839638898 14759458347 19679277796 29518916694 39358555592 44278375041 59037833388 88556750082 118075666776 177113500164 354227000328