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805404369 = 371141277307
BaseRepresentation
bin110000000000010…
…111111011010001
32002010111210002110
4300000113323101
53122140414434
6211530335533
725646552460
oct6000277321
92063453073
10805404369
113836a2250
121a588a5a9
13cab25a43
1478d749d7
154aa934e9
hex30017ed1

805404369 has 64 divisors (see below), whose sum is σ = 1380943872. Its totient is φ = 405388800.

The previous prime is 805404349. The next prime is 805404371. The reversal of 805404369 is 963404508.

It is not a de Polignac number, because 805404369 - 25 = 805404337 is a prime.

It is a super-2 number, since 2×8054043692 = 1297352395208576322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (805404349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2623314 + ... + 2623620.

It is an arithmetic number, because the mean of its divisors is an integer number (21577248).

Almost surely, 2805404369 is an apocalyptic number.

It is an amenable number.

805404369 is a deficient number, since it is larger than the sum of its proper divisors (575539503).

805404369 is a wasteful number, since it uses less digits than its factorization.

805404369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646.

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 805404369 is about 28379.6470908290. The cubic root of 805404369 is about 930.4034819936.

The spelling of 805404369 in words is "eight hundred five million, four hundred four thousand, three hundred sixty-nine".

Divisors: 1 3 7 11 21 33 41 77 123 231 277 287 307 451 831 861 921 1353 1939 2149 3047 3157 3377 5817 6447 9141 9471 10131 11357 12587 21329 23639 34071 37761 63987 70917 79499 85039 88109 124927 138457 238497 255117 264327 374781 415371 595273 874489 935429 969199 1785819 2623467 2806287 2907597 3486599 6548003 10459797 19644009 24406193 38352589 73218579 115057767 268468123 805404369