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323000420240 = 245174326321001
BaseRepresentation
bin1001011001101000101…
…00110100011110010000
31010212201110021102210102
410230310110310132100
520243001101421430
6404215003551532
732223152162201
oct4546424643620
91125643242712
10323000420240
11114a90353473
125272422b5a8
13245c7007124
14118c1add5a8
158606a53345
hex4b34534790

323000420240 has 160 divisors (see below), whose sum is σ = 816775508736. Its totient is φ = 118315008000.

The previous prime is 323000420233. The next prime is 323000420273. The reversal of 323000420240 is 42024000323.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15369740 + ... + 15390740.

Almost surely, 2323000420240 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 323000420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408387754368).

323000420240 is an abundant number, since it is smaller than the sum of its proper divisors (493775088496).

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

323000420240 is a wasteful number, since it uses less digits than its factorization.

323000420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21337 (or 21331 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 323000420240 its reverse (42024000323), we get a palindrome (365024420563).

The spelling of 323000420240 in words is "three hundred twenty-three billion, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 263 272 340 344 430 526 680 688 731 860 1052 1315 1360 1462 1720 2104 2630 2924 3440 3655 4208 4471 5260 5848 7310 8942 10520 11309 11696 14620 17884 21001 21040 22355 22618 29240 35768 42002 44710 45236 56545 58480 71536 84004 89420 90472 105005 113090 168008 178840 180944 192253 210010 226180 336016 357017 357680 384506 420020 452360 714034 769012 840040 903043 904720 961265 1428068 1538024 1680080 1785085 1806086 1922530 2856136 3076048 3570170 3612172 3845060 4515215 5523263 5712272 7140340 7224344 7690120 9030430 11046526 14280680 14448688 15351731 15380240 18060860 22093052 27616315 28561360 30703462 36121720 44186104 55232630 61406924 72243440 76758655 88372208 93895471 110465260 122813848 153517310 187790942 220930520 237500309 245627696 307034620 375581884 441861040 469477355 475000618 614069240 751163768 938954710 950001236 1187501545 1228138480 1502327536 1877909420 1900002472 2375003090 3755818840 3800004944 4037505253 4750006180 7511637680 8075010506 9500012360 16150021012 19000024720 20187526265 32300042024 40375052530 64600084048 80750105060 161500210120 323000420240