Search a number
-
+
328218480 = 2434550651
BaseRepresentation
bin10011100100000…
…011011101110000
3211212121020010000
4103210003131300
51133010442410
652322510000
711063545122
oct2344033560
9755536100
10328218480
111592a8447
1291b05300
1352ccac25
143183b212
151dc34dc0
hex13903770

328218480 has 100 divisors (see below), whose sum is σ = 1139973912. Its totient is φ = 87523200.

The previous prime is 328218431. The next prime is 328218481. The reversal of 328218480 is 84812823.

It is a happy number.

It is a super-2 number, since 2×3282184802 = 215454741227020800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328218481) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 18846 + ... + 31805.

Almost surely, 2328218480 is an apocalyptic number.

328218480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328218480 is an abundant number, since it is smaller than the sum of its proper divisors (811755432).

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

328218480 is a wasteful number, since it uses less digits than its factorization.

328218480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50676 (or 50661 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 328218480 is about 18116.8010421266. The cubic root of 328218480 is about 689.7965373637.

The spelling of 328218480 in words is "three hundred twenty-eight million, two hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 50651 101302 151953 202604 253255 303906 405208 455859 506510 607812 759765 810416 911718 1013020 1215624 1367577 1519530 1823436 2026040 2279295 2431248 2735154 3039060 3646872 4052080 4102731 4558590 5470308 6078120 6837885 7293744 8205462 9117180 10940616 12156240 13675770 16410924 18234360 20513655 21881232 27351540 32821848 36468720 41027310 54703080 65643696 82054620 109406160 164109240 328218480