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328803840 = 293356771
BaseRepresentation
bin10011100110010…
…010011000000000
3211220200222002000
4103212102120000
51133133210330
652343224000
711101533531
oct2346223000
9756628060
10328803840
11159668212
1292148000
13531744b1
1431950688
151dced560
hex13992600

328803840 has 320 divisors, whose sum is σ = 1202065920. Its totient is φ = 85155840.

The previous prime is 328803829. The next prime is 328803877. The reversal of 328803840 is 48308823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3288038402 = 216223930397491200, 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 = 328803795 and 328803804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4631005 + ... + 4631075.

It is an arithmetic number, because the mean of its divisors is an integer number (3756456).

Almost surely, 2328803840 is an apocalyptic number.

328803840 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 328803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601032960).

328803840 is an abundant number, since it is smaller than the sum of its proper divisors (873262080).

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

328803840 is an equidigital number, since it uses as much as digits as its factorization.

328803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

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

The square root of 328803840 is about 18132.9490155352. The cubic root of 328803840 is about 690.2063654951.

The spelling of 328803840 in words is "three hundred twenty-eight million, eight hundred three thousand, eight hundred forty".