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328444439466 = 2311131367280031
BaseRepresentation
bin1001100011110001101…
…00000110101110101010
31011101202212011021020010
410301320310012232222
520340123234030331
6410515120112350
732505105446313
oct4617064065652
91141685137203
10328444439466
11117324361710
12537a34656b6
1324c83b4a390
1411c7ab4360a
158824965e46
hex4c78d06baa

328444439466 has 64 divisors (see below), whose sum is σ = 772296892416. Its totient is φ = 91805035200.

The previous prime is 328444439459. The next prime is 328444439537. The reversal of 328444439466 is 664934444823.

It is a happy number.

It is a super-2 number, since 2×3284444394662 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032871 + ... + 1312901.

It is an arithmetic number, because the mean of its divisors is an integer number (12067138944).

Almost surely, 2328444439466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328444439466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386148446208).

328444439466 is an abundant number, since it is smaller than the sum of its proper divisors (443852452950).

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

328444439466 is a wasteful number, since it uses less digits than its factorization.

328444439466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281427.

The product of its digits is 47775744, while the sum is 57.

The spelling of 328444439466 in words is "three hundred twenty-eight billion, four hundred forty-four million, four hundred thirty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1367 2734 4101 8202 15037 17771 30074 35542 45111 53313 90222 106626 195481 280031 390962 560062 586443 840093 1172886 1680186 3080341 3640403 6160682 7280806 9241023 10921209 18482046 21842418 40044433 80088866 120133299 240266598 382802377 765604754 1148407131 2296814262 4210826147 4976430901 8421652294 9952861802 12632478441 14929292703 25264956882 29858585406 54740739911 109481479822 164222219733 328444439466