Search a number
-
+
328894720 = 2857114771
BaseRepresentation
bin10011100110101…
…000100100000000
3211220212120201221
4103212220210000
51133144112340
652345204424
711102362510
oct2346504400
9756776657
10328894720
1115971a520
1292190714
13531a697b
1431975840
151dd1a44a
hex139a8900

328894720 has 288 divisors, whose sum is σ = 1017225216. Its totient is φ = 98918400.

The previous prime is 328894697. The next prime is 328894723. The reversal of 328894720 is 27498823.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328894723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4632285 + ... + 4632355.

It is an arithmetic number, because the mean of its divisors is an integer number (3532032).

Almost surely, 2328894720 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 328894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508612608).

328894720 is an abundant number, since it is smaller than the sum of its proper divisors (688330496).

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

328894720 is a wasteful number, since it uses less digits than its factorization.

328894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 328894720 is about 18135.4547778654. The cubic root of 328894720 is about 690.2699496839.

The spelling of 328894720 in words is "three hundred twenty-eight million, eight hundred ninety-four thousand, seven hundred twenty".