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805434432 = 263111722433
BaseRepresentation
bin110000000000011…
…111010001000000
32002010120022022220
4300000133101000
53122142400212
6211531131040
725650036225
oct6000372100
92063508286
10805434432
113837128a0
121a58a3a80
13cab3662a
1478d8194c
154aa9c38c
hex3001f440

805434432 has 112 divisors (see below), whose sum is σ = 2461637952. Its totient is φ = 229703680.

The previous prime is 805434431. The next prime is 805434523. The reversal of 805434432 is 234434508.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 805434393 and 805434402.

It is not an unprimeable number, because it can be changed into a prime (805434431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24688 + ... + 47120.

Almost surely, 2805434432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230818976).

805434432 is an abundant number, since it is smaller than the sum of its proper divisors (1656203520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

805434432 is a wasteful number, since it uses less digits than its factorization.

805434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22476 (or 22466 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 805434432 is about 28380.1767436357. The cubic root of 805434432 is about 930.4150581131.

It can be divided in two parts, 8054 and 34432, that added together give a triangular number (42486 = T291).

The spelling of 805434432 in words is "eight hundred five million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 704 748 816 1056 1088 1122 1496 1632 2112 2244 2992 3264 4488 5984 8976 11968 17952 22433 35904 44866 67299 89732 134598 179464 246763 269196 358928 381361 493526 538392 717856 740289 762722 987052 1076784 1144083 1435712 1480578 1525444 1974104 2153568 2288166 2961156 3050888 3948208 4194971 4307136 4576332 5922312 6101776 7896416 8389942 9152664 11844624 12203552 12584913 15792832 16779884 18305328 23689248 24407104 25169826 33559768 36610656 47378496 50339652 67119536 73221312 100679304 134239072 201358608 268478144 402717216 805434432