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3405214505 = 5711431031997
BaseRepresentation
bin1100101011110111…
…0111001100101001
322210022111211010202
43022331313030221
523433213331010
61321521321545
7150245563040
oct31275671451
98708454122
103405214505
111498178070
127b04962b5
13423630434
14244367557
1514de376a5
hexcaf77329

3405214505 has 64 divisors (see below), whose sum is σ = 5266280448. Its totient is φ = 2052207360.

The previous prime is 3405214489. The next prime is 3405214507. The reversal of 3405214505 is 5054125043.

It is not a de Polignac number, because 3405214505 - 24 = 3405214489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3405214507) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1704167 + ... + 1706163.

It is an arithmetic number, because the mean of its divisors is an integer number (82285632).

Almost surely, 23405214505 is an apocalyptic number.

3405214505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3405214505 is a deficient number, since it is larger than the sum of its proper divisors (1861065943).

3405214505 is a wasteful number, since it uses less digits than its factorization.

3405214505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166.

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 3405214505 is about 58354.2158288499. The cubic root of 3405214505 is about 1504.4629312900.

Adding to 3405214505 its reverse (5054125043), we get a palindrome (8459339548).

The spelling of 3405214505 in words is "three billion, four hundred five million, two hundred fourteen thousand, five hundred five".

Divisors: 1 5 7 11 35 43 55 77 103 215 301 385 473 515 721 1133 1505 1997 2365 3311 3605 4429 5665 7931 9985 13979 16555 21967 22145 31003 39655 48719 69895 85871 109835 153769 155015 205691 243595 341033 429355 601097 768845 944581 1028455 1439837 1705165 2262601 3005485 4722905 6612067 7199185 8844713 11313005 15838207 33060335 44223565 61912991 79191035 97291843 309564955 486459215 681042901 3405214505