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326114320 = 24572292543
BaseRepresentation
bin10011011100000…
…001110000010000
3211201122022202011
4103130001300100
51131441124240
652205432304
711036632420
oct2334016020
9751568664
10326114320
111580a0574
129126b694
135274226c
1431450480
151d96b6ea
hex13701c10

326114320 has 80 divisors (see below), whose sum is σ = 870658560. Its totient is φ = 111278592.

The previous prime is 326114297. The next prime is 326114333. The reversal of 326114320 is 23411623.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 326114291 and 326114300.

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, 126969 + ... + 129511.

It is an arithmetic number, because the mean of its divisors is an integer number (10883232).

Almost surely, 2326114320 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 326114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435329280).

326114320 is an abundant number, since it is smaller than the sum of its proper divisors (544544240).

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

326114320 is a wasteful number, since it uses less digits than its factorization.

326114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 326114320 is about 18058.6356073763. The cubic root of 326114320 is about 688.3193149998.

Adding to 326114320 its reverse (23411623), we get a palindrome (349525943).

The spelling of 326114320 in words is "three hundred twenty-six million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 229 280 458 560 916 1145 1603 1832 2290 2543 3206 3664 4580 5086 6412 8015 9160 10172 12715 12824 16030 17801 18320 20344 25430 25648 32060 35602 40688 50860 64120 71204 89005 101720 128240 142408 178010 203440 284816 356020 582347 712040 1164694 1424080 2329388 2911735 4076429 4658776 5823470 8152858 9317552 11646940 16305716 20382145 23293880 32611432 40764290 46587760 65222864 81528580 163057160 326114320