Search a number
-
+
345452351204205 = 325734718471711123
BaseRepresentation
bin100111010001011111110010…
…0101011100010101101101101
31200022010220220022120211000200
41032202333210223202231231
5330234342403402013310
63222414341433144113
7132523052205225420
oct11642774453425555
91608126808524020
10345452351204205
11a008757936aa73
12328b2b9155b039
1311a9b02b2a427b
146143da95479b7
1529e101d6739c0
hex13a2fe4ae2b6d

345452351204205 has 96 divisors (see below), whose sum is σ = 686668749871104. Its totient is φ = 157380623906688.

The previous prime is 345452351204189. The next prime is 345452351204267. The reversal of 345452351204205 is 502402153254543.

345452351204205 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 5 + 235 + 1 + 204 + 205 = 666.

It is not a de Polignac number, because 345452351204205 - 24 = 345452351204189 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201030774 + ... + 202741896.

It is an arithmetic number, because the mean of its divisors is an integer number (7152799477824).

Almost surely, 2345452351204205 is an apocalyptic number.

345452351204205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345452351204205 is a deficient number, since it is larger than the sum of its proper divisors (341216398666899).

345452351204205 is a wasteful number, since it uses less digits than its factorization.

345452351204205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713335 (or 1713332 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 345452351204205 in words is "three hundred forty-five trillion, four hundred fifty-two billion, three hundred fifty-one million, two hundred four thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 347 1041 1735 1847 2429 3123 5205 5541 7287 9235 12145 12929 15615 16623 21861 27705 36435 38787 64645 83115 109305 116361 193935 581805 640909 1711123 1922727 3204545 4486363 5133369 5768181 8555615 9613635 11977861 13459089 15400107 22431815 25666845 28840905 35933583 40377267 59889305 67295445 77000535 107800749 179667915 201886335 539003745 593759681 1781279043 2968798405 3160444181 4156317767 5343837129 8906395215 9481332543 12468953301 15802220905 20781588835 22123109267 26719185645 28443997629 37406859903 47406662715 62344766505 66369327801 110615546335 142219988145 187034299515 199107983403 331846639005 995539917015 1096674130807 3290022392421 5483370654035 7676718915649 9870067177263 16450111962105 23030156746947 38383594578245 49350335886315 69090470240841 115150783734735 345452351204205