Search a number
-
+
328035744 = 2534271467
BaseRepresentation
bin10011100011010…
…110110110100000
3211212020221110000
4103203112312200
51132434120434
652314540000
711062154301
oct2343266640
9755227400
10328035744
11159193123
1291a37600
1352c659ba
14317d07a8
151dbeab99
hex138d6da0

328035744 has 120 divisors (see below), whose sum is σ = 970377408. Its totient is φ = 108708480.

The previous prime is 328035661. The next prime is 328035749. The reversal of 328035744 is 447530823.

It is a happy number.

328035744 is a `hidden beast` number, since 3 + 2 + 80 + 3 + 574 + 4 = 666.

328035744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 328035699 and 328035708.

It is not an unprimeable number, because it can be changed into a prime (328035749) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 702199 + ... + 702665.

Almost surely, 2328035744 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 328035744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485188704).

328035744 is an abundant number, since it is smaller than the sum of its proper divisors (642341664).

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

328035744 is a wasteful number, since it uses less digits than its factorization.

328035744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 743 counting only the distinct ones).

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

The square root of 328035744 is about 18111.7570655086. The cubic root of 328035744 is about 689.6684986050.

The spelling of 328035744 in words is "three hundred twenty-eight million, thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 271 288 324 432 467 542 648 813 864 934 1084 1296 1401 1626 1868 2168 2439 2592 2802 3252 3736 4203 4336 4878 5604 6504 7317 7472 8406 8672 9756 11208 12609 13008 14634 14944 16812 19512 21951 22416 25218 26016 29268 33624 37827 39024 43902 44832 50436 58536 67248 75654 78048 87804 100872 117072 126557 134496 151308 175608 201744 234144 253114 302616 351216 379671 403488 506228 605232 702432 759342 1012456 1139013 1210464 1518684 2024912 2278026 3037368 3417039 4049824 4556052 6074736 6834078 9112104 10251117 12149472 13668156 18224208 20502234 27336312 36448416 41004468 54672624 82008936 109345248 164017872 328035744