[go: up one dir, main page]

Search a number
-
+
390728884 = 2271317233271
BaseRepresentation
bin10111010010100…
…000110010110100
31000020020002021011
4113102200302310
51300011311014
6102434402004
712453066160
oct2722406264
91006202234
10390728884
11190613437
12aaa30304
1362c46730
1439c6dca0
15244817c4
hex174a0cb4

390728884 has 96 divisors (see below), whose sum is σ = 898200576. Its totient is φ = 144322560.

The previous prime is 390728881. The next prime is 390728951. The reversal of 390728884 is 488827093.

It is a super-3 number, since 3×3907288843 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390728881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441669 + ... + 1441939.

It is an arithmetic number, because the mean of its divisors is an integer number (9356256).

Almost surely, 2390728884 is an apocalyptic number.

390728884 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390728884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449100288).

390728884 is an abundant number, since it is smaller than the sum of its proper divisors (507471692).

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

390728884 is a wasteful number, since it uses less digits than its factorization.

390728884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 390728884 is about 19766.8632817653. The cubic root of 390728884 is about 731.0692306567.

The spelling of 390728884 in words is "three hundred ninety million, seven hundred twenty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 233 238 271 364 442 466 476 542 884 932 1084 1547 1631 1897 3029 3094 3262 3523 3794 3961 4607 6058 6188 6524 7046 7588 7922 9214 12116 14092 15844 18428 21203 24661 27727 32249 42406 49322 51493 55454 59891 63143 64498 84812 98644 102986 110908 119782 126286 128996 205972 239564 252572 360451 419237 442001 720902 820859 838474 884002 1073431 1441804 1641718 1676948 1768004 2146862 3283436 4293724 5746013 7514017 11492026 13954603 15028034 22984052 27909206 30056068 55818412 97682221 195364442 390728884