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328560480 = 25325832749
BaseRepresentation
bin10011100101010…
…110111101100000
3211220020121020200
4103211112331200
51133102413410
652334105200
711066501163
oct2345267540
9756217220
10328560480
11159511396
129204b200
13530ba7b1
14318c9ada
151dca13c0
hex13956f60

328560480 has 144 divisors (see below), whose sum is σ = 1135134000. Its totient is φ = 86529024.

The previous prime is 328560469. The next prime is 328560493. The reversal of 328560480 is 84065823.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118146 + ... + 120894.

It is an arithmetic number, because the mean of its divisors is an integer number (7882875).

Almost surely, 2328560480 is an apocalyptic number.

328560480 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 328560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567567000).

328560480 is an abundant number, since it is smaller than the sum of its proper divisors (806573520).

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

328560480 is a wasteful number, since it uses less digits than its factorization.

328560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 328560480 is about 18126.2373370758. The cubic root of 328560480 is about 690.0360409656.

The spelling of 328560480 in words is "three hundred twenty-eight million, five hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 83 90 96 120 144 160 166 180 240 249 288 332 360 415 480 498 664 720 747 830 996 1245 1328 1440 1494 1660 1992 2490 2656 2749 2988 3320 3735 3984 4980 5498 5976 6640 7470 7968 8247 9960 10996 11952 13280 13745 14940 16494 19920 21992 23904 24741 27490 29880 32988 39840 41235 43984 49482 54980 59760 65976 82470 87968 98964 109960 119520 123705 131952 164940 197928 219920 228167 247410 263904 329880 395856 439840 456334 494820 659760 684501 791712 912668 989640 1140835 1319520 1369002 1825336 1979280 2053503 2281670 2738004 3422505 3650672 3958560 4107006 4563340 5476008 6845010 7301344 8214012 9126680 10267515 10952016 13690020 16428024 18253360 20535030 21904032 27380040 32856048 36506720 41070060 54760080 65712096 82140120 109520160 164280240 328560480