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844230036 = 2231323711251
BaseRepresentation
bin110010010100011…
…110110110010100
32011211120022220010
4302110132312110
53212110330121
6215434440220
726630560026
oct6224366624
92154508803
10844230036
113a3600581
121b6893070
13105b9ac00
14801a0016
154e1b2376
hex3251ed94

844230036 has 72 divisors (see below), whose sum is σ = 2190899424. Its totient is φ = 252720000.

The previous prime is 844230017. The next prime is 844230067. The reversal of 844230036 is 630032448.

844230036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8442300362 = 1425448707369122592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 844229985 and 844230012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69411 + ... + 80661.

Almost surely, 2844230036 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 844230036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095449712).

844230036 is an abundant number, since it is smaller than the sum of its proper divisors (1346669388).

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

844230036 is a wasteful number, since it uses less digits than its factorization.

844230036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11321 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 844230036 is about 29055.6369057710. The cubic root of 844230036 is about 945.1199556580.

The spelling of 844230036 in words is "eight hundred forty-four million, two hundred thirty thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 169 222 338 444 481 507 676 962 1014 1443 1924 2028 2886 5772 6253 11251 12506 18759 22502 25012 33753 37518 45004 67506 75036 135012 146263 292526 416287 438789 585052 832574 877578 1248861 1665148 1755156 1901419 2497722 3802838 4995444 5411731 5704257 7605676 10823462 11408514 16235193 21646924 22817028 32470386 64940772 70352503 140705006 211057509 281410012 422115018 844230036