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328906632 = 23329612127
BaseRepresentation
bin10011100110101…
…011011110001000
3211220220012002010
4103212223132020
51133200003012
652345335520
711102442315
oct2346533610
9756805063
10328906632
1115972846a
12921975a0
13531ac212
1431979d0c
151dd1dc3c
hex139ab788

328906632 has 96 divisors (see below), whose sum is σ = 871603200. Its totient is φ = 103299840.

The previous prime is 328906631. The next prime is 328906637. The reversal of 328906632 is 236609823.

It is not an unprimeable number, because it can be changed into a prime (328906631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2589753 + ... + 2589879.

It is an arithmetic number, because the mean of its divisors is an integer number (9079200).

Almost surely, 2328906632 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 328906632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435801600).

328906632 is an abundant number, since it is smaller than the sum of its proper divisors (542696568).

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

328906632 is a wasteful number, since it uses less digits than its factorization.

328906632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 328906632 is about 18135.7831923521. The cubic root of 328906632 is about 690.2782830460.

The spelling of 328906632 in words is "three hundred twenty-eight million, nine hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 127 174 183 232 244 254 348 366 381 488 508 696 732 762 1016 1464 1524 1769 3048 3538 3683 3721 5307 7076 7366 7442 7747 10614 11049 11163 14152 14732 14884 15494 21228 22098 22326 23241 29464 29768 30988 42456 44196 44652 46482 61976 88392 89304 92964 107909 185928 215818 224663 323727 431636 449326 472567 647454 673989 863272 898652 945134 1294908 1347978 1417701 1797304 1890268 2589816 2695956 2835402 3780536 5391912 5670804 11341608 13704443 27408886 41113329 54817772 82226658 109635544 164453316 328906632