Search a number
-
+
328144176 = 243331107229
BaseRepresentation
bin10011100011110…
…001010100110000
3211212110110012000
4103203301110300
51133001103201
652321134000
711063115363
oct2343612460
9755413160
10328144176
11159257638
1291a8a300
1352ca3169
143181c0da
151dc1cd86
hex138f1530

328144176 has 160 divisors (see below), whose sum is σ = 985651200. Its totient is φ = 104405760.

The previous prime is 328144133. The next prime is 328144189. The reversal of 328144176 is 671441823.

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

Its product of digits (32256) is a multiple of the sum of its prime factors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 328144176.

It is a congruent number.

It is an unprimeable number.

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, 1432830 + ... + 1433058.

It is an arithmetic number, because the mean of its divisors is an integer number (6160320).

Almost surely, 2328144176 is an apocalyptic number.

328144176 is a gapful number since it is divisible by the number (36) 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 328144176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492825600).

328144176 is an abundant number, since it is smaller than the sum of its proper divisors (657507024).

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

328144176 is a wasteful number, since it uses less digits than its factorization.

328144176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 328144176 is about 18114.7502328903. The cubic root of 328144176 is about 689.7444800570.

Adding to 328144176 its reverse (671441823), we get a palindrome (999585999).

The spelling of 328144176 in words is "three hundred twenty-eight million, one hundred forty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 107 108 124 144 186 214 216 229 248 279 321 372 428 432 458 496 558 642 687 744 837 856 916 963 1116 1284 1374 1488 1674 1712 1832 1926 2061 2232 2568 2748 2889 3317 3348 3664 3852 4122 4464 5136 5496 5778 6183 6634 6696 7099 7704 8244 9951 10992 11556 12366 13268 13392 14198 15408 16488 19902 21297 23112 24503 24732 26536 28396 29853 32976 39804 42594 46224 49006 49464 53072 56792 59706 63891 73509 79608 85188 89559 98012 98928 113584 119412 127782 147018 159216 170376 179118 191673 196024 220527 238824 255564 294036 340752 358236 383346 392048 441054 477648 511128 588072 661581 716472 759593 766692 882108 1022256 1176144 1323162 1432944 1519186 1533384 1764216 2278779 2646324 3038372 3066768 3528432 4557558 5292648 6076744 6836337 9115116 10585296 12153488 13672674 18230232 20509011 27345348 36460464 41018022 54690696 82036044 109381392 164072088 328144176