Search a number
-
+
328169232 = 2434313809
BaseRepresentation
bin10011100011110…
…111011100010000
3211212111201120000
4103203313130100
51133002403412
652321450000
711063251416
oct2343673420
9755451500
10328169232
11159274446
1291aa0900
1352cb16a1
14318272b6
151dc254dc
hex138f7710

328169232 has 100 divisors (see below), whose sum is σ = 954029340. Its totient is φ = 108905472.

The previous prime is 328169209. The next prime is 328169297. The reversal of 328169232 is 232961823.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 208398096 = 10944^2 + 14436^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 405244 + ... + 406052.

Almost surely, 2328169232 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 328169232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477014670).

328169232 is an abundant number, since it is smaller than the sum of its proper divisors (625860108).

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

328169232 is a wasteful number, since it uses less digits than its factorization.

328169232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1127 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 328169232 is about 18115.4418107867. The cubic root of 328169232 is about 689.7620351432.

The spelling of 328169232 in words is "three hundred twenty-eight million, one hundred sixty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 313 324 432 626 648 809 939 1252 1296 1618 1878 2427 2504 2817 3236 3756 4854 5008 5634 6472 7281 7512 8451 9708 11268 12944 14562 15024 16902 19416 21843 22536 25353 29124 33804 38832 43686 45072 50706 58248 65529 67608 87372 101412 116496 131058 135216 174744 202824 253217 262116 349488 405648 506434 524232 759651 1012868 1048464 1519302 2025736 2278953 3038604 4051472 4557906 6077208 6836859 9115812 12154416 13673718 18231624 20510577 27347436 36463248 41021154 54694872 82042308 109389744 164084616 328169232