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340220106272 = 2597210632
BaseRepresentation
bin1001111001101101011…
…00101101011000100000
31012112011112011010021202
410330312230231120200
521033232321400042
6420143413340332
733402654121364
oct4746654553040
91175145133252
10340220106272
11121317420452
1255b2b0376a8
132610c688067
1412676a472a4
158cb3672632
hex4f36b2d620

340220106272 has 54 divisors (see below), whose sum is σ = 677422036053. Its totient is φ = 168197962752.

The previous prime is 340220106269. The next prime is 340220106299. The reversal of 340220106272 is 272601022043.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 339334210576 + 885895696 = 582524^2 + 29764^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=412444.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 320056013 + ... + 320057075.

Almost surely, 2340220106272 is an apocalyptic number.

340220106272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340220106272 is a deficient number, since it is larger than the sum of its proper divisors (337201929781).

340220106272 is an frugal number, since it uses more digits than its factorization.

340220106272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 340220106272 in words is "three hundred forty billion, two hundred twenty million, one hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 97 194 388 776 1063 1552 2126 3104 4252 8504 9409 17008 18818 34016 37636 75272 103111 150544 206222 301088 412444 824888 1129969 1649776 2259938 3299552 4519876 9039752 10001767 18079504 20003534 36159008 40007068 80014136 109606993 160028272 219213986 320056544 438427972 876855944 1753711888 3507423776 10631878321 21263756642 42527513284 85055026568 170110053136 340220106272