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328168032 = 25323914303
BaseRepresentation
bin10011100011110…
…111001001100000
3211212111122220120
4103203313021200
51133002334112
652321440240
711063245053
oct2343671140
9755448816
10328168032
11159273555
1291aa0080
1352cb0c8a
1431826a9a
151dc24e8c
hex138f7260

328168032 has 48 divisors (see below), whose sum is σ = 865105920. Its totient is φ = 108924032.

The previous prime is 328168021. The next prime is 328168033. The reversal of 328168032 is 230861823.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 328167984 and 328168002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328168033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15793 + ... + 30095.

It is an arithmetic number, because the mean of its divisors is an integer number (18023040).

Almost surely, 2328168032 is an apocalyptic number.

328168032 is a gapful number since it is divisible by the number (32) 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 328168032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432552960).

328168032 is an abundant number, since it is smaller than the sum of its proper divisors (536937888).

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

328168032 is a wasteful number, since it uses less digits than its factorization.

328168032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14555 (or 14547 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 328168032 is about 18115.4086898419. The cubic root of 328168032 is about 689.7611944027.

The spelling of 328168032 in words is "three hundred twenty-eight million, one hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 14303 22944 28606 42909 57212 85818 114424 171636 228848 343272 457696 686544 1373088 3418417 6836834 10255251 13673668 20510502 27347336 41021004 54694672 82042008 109389344 164084016 328168032