Search a number
-
+
328167680 = 2852371157
BaseRepresentation
bin10011100011110…
…111000100000000
3211212111122102112
4103203313010000
51133002331210
652321434452
711063244041
oct2343670400
9755448375
10328167680
11159273265
1291a9ba28
1352cb0a79
14318268c8
151dc24d05
hex138f7100

328167680 has 144 divisors (see below), whose sum is σ = 837091584. Its totient is φ = 123002880.

The previous prime is 328167673. The next prime is 328167709. The reversal of 328167680 is 86761823.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2090162 + ... + 2090318.

It is an arithmetic number, because the mean of its divisors is an integer number (5813136).

Almost surely, 2328167680 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 328167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418545792).

328167680 is an abundant number, since it is smaller than the sum of its proper divisors (508923904).

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

328167680 is a wasteful number, since it uses less digits than its factorization.

328167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 328167680 is about 18115.3989743533. The cubic root of 328167680 is about 689.7609477851.

The spelling of 328167680 in words is "three hundred twenty-eight million, one hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 71 80 92 115 128 142 157 160 184 230 256 284 314 320 355 368 460 568 628 640 710 736 785 920 1136 1256 1280 1420 1472 1570 1633 1840 2272 2512 2840 2944 3140 3266 3611 3680 4544 5024 5680 5888 6280 6532 7222 7360 8165 9088 10048 11147 11360 12560 13064 14444 14720 16330 18055 18176 20096 22294 22720 25120 26128 28888 29440 32660 36110 40192 44588 45440 50240 52256 55735 57776 65320 72220 89176 90880 100480 104512 111470 115552 130640 144440 178352 200960 209024 222940 231104 256381 261280 288880 356704 418048 445880 462208 512762 522560 577760 713408 891760 924416 1025524 1045120 1155520 1281905 1426816 1783520 2051048 2090240 2311040 2563810 2853632 3567040 4102096 4622080 5127620 7134080 8204192 10255240 14268160 16408384 20510480 32816768 41020960 65633536 82041920 164083840 328167680