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328014560 = 25514913759
BaseRepresentation
bin10011100011010…
…001101011100000
3211212012212101102
4103203101223200
51132432431220
652314253532
711062035446
oct2343215340
9755185342
10328014560
11159179215
1291a272a8
1352c59173
14317c6b96
151dbe4775
hex138d1ae0

328014560 has 48 divisors (see below), whose sum is σ = 780192000. Its totient is φ = 130315776.

The previous prime is 328014539. The next prime is 328014607. The reversal of 328014560 is 65410823.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16961 + ... + 30719.

It is an arithmetic number, because the mean of its divisors is an integer number (16254000).

Almost surely, 2328014560 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 328014560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390096000).

328014560 is an abundant number, since it is smaller than the sum of its proper divisors (452177440).

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

328014560 is a wasteful number, since it uses less digits than its factorization.

328014560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13923 (or 13915 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 328014560 is about 18111.1722425689. The cubic root of 328014560 is about 689.6536524058.

The spelling of 328014560 in words is "three hundred twenty-eight million, fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 745 1192 1490 2384 2980 4768 5960 11920 13759 23840 27518 55036 68795 110072 137590 220144 275180 440288 550360 1100720 2050091 2201440 4100182 8200364 10250455 16400728 20500910 32801456 41001820 65602912 82003640 164007280 328014560