Search a number
-
+
328000079 = 1123372947
BaseRepresentation
bin10011100011001…
…110001001001111
3211212012010112002
4103203032021033
51132432000304
652314102515
711061645311
oct2343161117
9755163462
10328000079
11159169350
1291a1aa3b
1352c526b4
14317c17b1
151dbe031e
hex138ce24f

328000079 has 24 divisors (see below), whose sum is σ = 384144768. Its totient is φ = 277215840.

The previous prime is 328000073. The next prime is 328000081. The reversal of 328000079 is 970000823.

It is not a de Polignac number, because 328000079 - 216 = 327934543 is a prime.

It is a pancake number, because a pancake can be divided into 328000079 parts by 25612 straight cuts.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328000073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345884 + ... + 346830.

It is an arithmetic number, because the mean of its divisors is an integer number (16006032).

Almost surely, 2328000079 is an apocalyptic number.

328000079 is a deficient number, since it is larger than the sum of its proper divisors (56144689).

328000079 is a wasteful number, since it uses less digits than its factorization.

328000079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 328000079 is about 18110.7724572973. The cubic root of 328000079 is about 689.6435034443.

It can be divided in two parts, 3 and 28000079, that added together give a palindrome (28000082).

The spelling of 328000079 in words is "three hundred twenty-eight million, seventy-nine", and thus it is an aban number.

Divisors: 1 11 23 37 253 407 851 947 1369 9361 10417 15059 21781 31487 35039 239591 346357 385429 805897 1296443 8864867 14260873 29818189 328000079