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880385328 = 24337972557
BaseRepresentation
bin110100011110011…
…001110100110000
32021100121012122000
4310132121310300
53300334312303
6223205414000
730550103034
oct6436316460
92240535560
10880385328
11411a55589
12206a0a300
13110519784
1484cd21c4
1552454da3
hex34799d30

880385328 has 80 divisors (see below), whose sum is σ = 2531192160. Its totient is φ = 292978944.

The previous prime is 880385327. The next prime is 880385347. The reversal of 880385328 is 823583088.

880385328 is a `hidden beast` number, since 8 + 80 + 38 + 532 + 8 = 666.

880385328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (880385323) 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, 343026 + ... + 345582.

It is an arithmetic number, because the mean of its divisors is an integer number (31639902).

Almost surely, 2880385328 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 880385328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265596080).

880385328 is an abundant number, since it is smaller than the sum of its proper divisors (1650806832).

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

880385328 is a wasteful number, since it uses less digits than its factorization.

880385328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 880385328 is about 29671.2879396901. The cubic root of 880385328 is about 958.4238198080.

The spelling of 880385328 in words is "eight hundred eighty million, three hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 797 1594 2391 2557 3188 4782 5114 6376 7173 7671 9564 10228 12752 14346 15342 19128 20456 21519 23013 28692 30684 38256 40912 43038 46026 57384 61368 69039 86076 92052 114768 122736 138078 172152 184104 276156 344304 368208 552312 1104624 2037929 4075858 6113787 8151716 12227574 16303432 18341361 24455148 32606864 36682722 48910296 55024083 73365444 97820592 110048166 146730888 220096332 293461776 440192664 880385328