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328235932416 = 283776180231
BaseRepresentation
bin1001100011011000110…
…00101101101100000000
31011101020022211000022210
410301230120231230000
520334211344314131
6410442311102120
732466664251120
oct4615430555400
91141208730283
10328235932416
11117227699237
1253745671940
1324c4c8a4c22
1411c5b188c80
1588114cb146
hex4c6c62db00

328235932416 has 144 divisors (see below), whose sum is σ = 999708691968. Its totient is φ = 93657292800.

The previous prime is 328235932403. The next prime is 328235932471. The reversal of 328235932416 is 614239532823.

It is a happy number.

It is a super-3 number, since 3×3282359324163 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4051021 + ... + 4131251.

It is an arithmetic number, because the mean of its divisors is an integer number (6942421472).

Almost surely, 2328235932416 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 328235932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499854345984).

328235932416 is an abundant number, since it is smaller than the sum of its proper divisors (671472759552).

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

328235932416 is an equidigital number, since it uses as much as digits as its factorization.

328235932416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81018 (or 81004 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The spelling of 328235932416 in words is "three hundred twenty-eight billion, two hundred thirty-five million, nine hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 761 768 896 1344 1522 1792 2283 2688 3044 4566 5327 5376 6088 9132 10654 12176 15981 18264 21308 24352 31962 36528 42616 48704 63924 73056 80231 85232 97408 127848 146112 160462 170464 194816 240693 255696 292224 320924 340928 481386 511392 561617 584448 641848 681856 962772 1022784 1123234 1283696 1363712 1684851 1925544 2045568 2246468 2567392 3369702 3851088 4091136 4492936 5134784 6739404 7702176 8985872 10269568 13478808 15404352 17971744 20539136 26957616 30808704 35943488 53915232 61055791 61617408 71886976 107830464 122111582 143773952 183167373 215660928 244223164 366334746 427390537 431321856 488446328 732669492 854781074 976892656 1282171611 1465338984 1709562148 1953785312 2564343222 2930677968 3419124296 3907570624 5128686444 5861355936 6838248592 7815141248 10257372888 11722711872 13676497184 15630282496 20514745776 23445423744 27352994368 41029491552 46890847488 54705988736 82058983104 109411977472 164117966208 328235932416