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328765320 = 233251370249
BaseRepresentation
bin10011100110001…
…000111110001000
3211220122000020100
4103212020332020
51133130442240
652342325400
711101313322
oct2346107610
9756560210
10328765320
11159641284
1292129860
135315cac0
1431940612
151dce1e30
hex13988f88

328765320 has 96 divisors (see below), whose sum is σ = 1150695000. Its totient is φ = 80925696.

The previous prime is 328765319. The next prime is 328765321. The reversal of 328765320 is 23567823.

328765320 is a `hidden beast` number, since 328 + 7 + 6 + 5 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (328765319) and next prime (328765321).

It can be written as a sum of positive squares in 4 ways, for example, as 110376036 + 218389284 = 10506^2 + 14778^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (328765321) 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 23 ways as a sum of consecutive naturals, for example, 30445 + ... + 39804.

Almost surely, 2328765320 is an apocalyptic number.

328765320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328765320 is an abundant number, since it is smaller than the sum of its proper divisors (821929680).

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

328765320 is a wasteful number, since it uses less digits than its factorization.

328765320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70279 (or 70272 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 328765320 is about 18131.8868295608. The cubic root of 328765320 is about 690.1794114430.

The spelling of 328765320 in words is "three hundred twenty-eight million, seven hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 70249 140498 210747 280996 351245 421494 561992 632241 702490 842988 913237 1053735 1264482 1404980 1685976 1826474 2107470 2528964 2739711 2809960 3161205 3652948 4214940 4566185 5057928 5479422 6322410 7305896 8219133 8429880 9132370 10958844 12644820 13698555 16438266 18264740 21917688 25289640 27397110 32876532 36529480 41095665 54794220 65753064 82191330 109588440 164382660 328765320