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328224877140 = 223597313180179
BaseRepresentation
bin1001100011010111011…
…10100010101001010100
31011101012120000100100010
410301223232202221110
520334201032032030
6410441234120220
732466501265026
oct4615356425124
91141176010303
10328224877140
11117221428246
1253741a20070
1324c4a503c44
1411c5990c016
1588105456b0
hex4c6bba2a54

328224877140 has 96 divisors (see below), whose sum is σ = 931475825280. Its totient is φ = 86347063296.

The previous prime is 328224877117. The next prime is 328224877171. The reversal of 328224877140 is 41778422823.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 328224877140.

It is a congruent number.

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, 1731571 + ... + 1911749.

It is an arithmetic number, because the mean of its divisors is an integer number (9702873180).

Almost surely, 2328224877140 is an apocalyptic number.

328224877140 is a gapful number since it is divisible by the number (30) 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 328224877140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465737912640).

328224877140 is an abundant number, since it is smaller than the sum of its proper divisors (603250948140).

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

328224877140 is a wasteful number, since it uses less digits than its factorization.

328224877140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180601 (or 180599 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 328224877140 in words is "three hundred twenty-eight billion, two hundred twenty-four million, eight hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 313 388 485 582 626 939 970 1164 1252 1455 1565 1878 1940 2910 3130 3756 4695 5820 6260 9390 18780 30361 60722 91083 121444 151805 180179 182166 303610 360358 364332 455415 540537 607220 720716 900895 910830 1081074 1801790 1821660 2162148 2702685 3603580 5405370 10810740 17477363 34954726 52432089 56396027 69909452 87386815 104864178 112792054 169188081 174773630 209728356 225584108 262160445 281980135 338376162 349547260 524320890 563960270 676752324 845940405 1048641780 1127920540 1691880810 3383761620 5470414619 10940829238 16411243857 21881658476 27352073095 32822487714 54704146190 65644975428 82056219285 109408292380 164112438570 328224877140