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880403328 = 27327432539
BaseRepresentation
bin110100011110011…
…110001110000000
32021100122010022200
4310132132032000
53300340401303
6223210033200
730550206360
oct6436361600
92240563280
10880403328
11411a68062
12206a18800
13110524a1c
1484cd89a0
155245a3a3
hex3479e380

880403328 has 192 divisors, whose sum is σ = 2963875200. Its totient is φ = 245597184.

The previous prime is 880403311. The next prime is 880403339. The reversal of 880403328 is 823304088.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8804033282 = 1550220039906951168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 880403292 and 880403301.

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, 345483 + ... + 348021.

It is an arithmetic number, because the mean of its divisors is an integer number (15436850).

Almost surely, 2880403328 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 880403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481937600).

880403328 is an abundant number, since it is smaller than the sum of its proper divisors (2083471872).

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

880403328 is a wasteful number, since it uses less digits than its factorization.

880403328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 880403328 is about 29671.5912616765. The cubic root of 880403328 is about 958.4303516112.

The spelling of 880403328 in words is "eight hundred eighty million, four hundred three thousand, three hundred twenty-eight".