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806634432 = 26322116637
BaseRepresentation
bin110000000101000…
…100001111000000
32002012211021102100
4300011010033000
53122444300212
6212012550400
725663164612
oct6005041700
92065737370
10806634432
1138436242a
121a6182400
13cb1668a6
14791b4db2
154ac37bdc
hex301443c0

806634432 has 84 divisors (see below), whose sum is σ = 2323379656. Its totient is φ = 267563520.

The previous prime is 806634431. The next prime is 806634457. The reversal of 806634432 is 234436608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806634431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118218 + ... + 124854.

Almost surely, 2806634432 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 806634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161689828).

806634432 is an abundant number, since it is smaller than the sum of its proper divisors (1516745224).

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

806634432 is a wasteful number, since it uses less digits than its factorization.

806634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 806634432 is about 28401.3103923041. The cubic root of 806634432 is about 930.8768975054.

The spelling of 806634432 in words is "eight hundred six million, six hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 211 288 422 576 633 844 1266 1688 1899 2532 3376 3798 5064 6637 6752 7596 10128 13274 13504 15192 19911 20256 26548 30384 39822 40512 53096 59733 60768 79644 106192 119466 121536 159288 212384 238932 318576 424768 477864 637152 955728 1274304 1400407 1911456 2800814 3822912 4201221 5601628 8402442 11203256 12603663 16804884 22406512 25207326 33609768 44813024 50414652 67219536 89626048 100829304 134439072 201658608 268878144 403317216 806634432