Search a number
-
+
328575360 = 2735199007
BaseRepresentation
bin10011100101011…
…010100110000000
3211220021100122210
4103211122212000
51133103402420
652334302120
711066562441
oct2345324600
9756240583
10328575360
11159521593
1292057940
13530c44b9
14318d12c8
151dca59e0
hex1395a980

328575360 has 128 divisors (see below), whose sum is σ = 1102579200. Its totient is φ = 82999296.

The previous prime is 328575347. The next prime is 328575367. The reversal of 328575360 is 63575823.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328575367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31977 + ... + 40983.

It is an arithmetic number, because the mean of its divisors is an integer number (8613900).

Almost surely, 2328575360 is an apocalyptic number.

328575360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551289600).

328575360 is an abundant number, since it is smaller than the sum of its proper divisors (774003840).

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

328575360 is a wasteful number, since it uses less digits than its factorization.

328575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9048 (or 9036 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 328575360 is about 18126.6477871668. The cubic root of 328575360 is about 690.0464576995.

The spelling of 328575360 in words is "three hundred twenty-eight million, five hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9007 9120 12160 18014 18240 27021 36028 36480 45035 54042 72056 90070 108084 135105 144112 171133 180140 216168 270210 288224 342266 360280 432336 513399 540420 576448 684532 720560 855665 864672 1026798 1080840 1152896 1369064 1441120 1711330 1729344 2053596 2161680 2566995 2738128 2882240 3422660 3458688 4107192 4323360 5133990 5476256 5764480 6845320 8214384 8646720 10267980 10952512 13690640 16428768 17293440 20535960 21905024 27381280 32857536 41071920 54762560 65715072 82143840 109525120 164287680 328575360