Search a number
-
+
326354820345 = 3252310123313399
BaseRepresentation
bin1001011111111000100…
…00110101110011111001
31011012101020011121200100
410233330100311303321
520321333313222340
6405531512230013
732402243126301
oct4577420656371
91135336147610
10326354820345
11116451873964
12532bb69b309
1324a0cc55568
1411b1d3da601
15875129e830
hex4bfc435cf9

326354820345 has 96 divisors (see below), whose sum is σ = 598724006400. Its totient is φ = 164120140800.

The previous prime is 326354820343. The next prime is 326354820359. The reversal of 326354820345 is 543028453623.

326354820345 is a `hidden beast` number, since 3 + 2 + 63 + 548 + 2 + 0 + 3 + 45 = 666.

It is not a de Polignac number, because 326354820345 - 21 = 326354820343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 326354820345.

It is not an unprimeable number, because it can be changed into a prime (326354820343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24349956 + ... + 24363354.

It is an arithmetic number, because the mean of its divisors is an integer number (6236708400).

Almost surely, 2326354820345 is an apocalyptic number.

It is an amenable number.

326354820345 is a deficient number, since it is larger than the sum of its proper divisors (272369186055).

326354820345 is a wasteful number, since it uses less digits than its factorization.

326354820345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13767 (or 13764 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 326354820345 in words is "three hundred twenty-six billion, three hundred fifty-four million, eight hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 23 45 69 101 115 207 233 303 345 505 699 909 1035 1165 1515 2097 2323 3495 4545 5359 6969 10485 11615 13399 16077 20907 23533 26795 34845 40197 48231 66995 70599 80385 104535 117665 120591 200985 211797 241155 308177 352995 541259 602955 924531 1058985 1353299 1540885 1623777 2706295 2773593 3121967 4059897 4622655 4871331 6766495 8118885 9365901 12179691 13867965 15609835 20299485 24356655 28097703 31125877 46829505 60898455 71805241 93377631 140488515 155629385 215415723 280132893 315318667 359026205 466888155 646247169 945956001 1077078615 1400664465 1576593335 2837868003 3231235845 4729780005 7252329341 14189340015 21756988023 36261646705 65270964069 108784940115 326354820345