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328241408 = 2811412843
BaseRepresentation
bin10011100100001…
…001000100000000
3211212122101120012
4103210021010000
51133012211113
652323204052
711064002015
oct2344110400
9755571505
10328241408
111593136a0
1291b16628
13530084b1
143184570c
151dc3baa8
hex13909100

328241408 has 72 divisors (see below), whose sum is σ = 732455136. Its totient is φ = 145510400.

The previous prime is 328241371. The next prime is 328241447. The reversal of 328241408 is 804142823.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114035 + ... + 116877.

It is an arithmetic number, because the mean of its divisors is an integer number (10172988).

Almost surely, 2328241408 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 328241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366227568).

328241408 is an abundant number, since it is smaller than the sum of its proper divisors (404213728).

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

328241408 is a wasteful number, since it uses less digits than its factorization.

328241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 328241408 is about 18117.4338138711. The cubic root of 328241408 is about 689.8125991109.

The spelling of 328241408 in words is "three hundred twenty-eight million, two hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 656 704 902 1312 1408 1804 2624 2816 2843 3608 5248 5686 7216 10496 11372 14432 22744 28864 31273 45488 57728 62546 90976 115456 116563 125092 181952 233126 250184 363904 466252 500368 727808 932504 1000736 1282193 1865008 2001472 2564386 3730016 4002944 5128772 7460032 8005888 10257544 14920064 20515088 29840128 41030176 82060352 164120704 328241408