Search a number
-
+
823072074 = 231131140099
BaseRepresentation
bin110001000011110…
…001010101001010
32010100202101121220
4301003301111022
53141201301244
6213401142510
726252666016
oct6103612512
92110671556
10823072074
1139266a260
121ab78aa36
131016a06c6
147b453546
154c3d3319
hex310f154a

823072074 has 32 divisors (see below), whose sum is σ = 1801612800. Its totient is φ = 248607600.

The previous prime is 823072031. The next prime is 823072087. The reversal of 823072074 is 470270328.

It is a super-2 number, since 2×8230720742 = 1354895277997322952, which contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 477 + ... + 40575.

It is an arithmetic number, because the mean of its divisors is an integer number (56300400).

Almost surely, 2823072074 is an apocalyptic number.

823072074 is an abundant number, since it is smaller than the sum of its proper divisors (978540726).

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

823072074 is a wasteful number, since it uses less digits than its factorization.

823072074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40426.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 823072074 is about 28689.2327189139. The cubic root of 823072074 is about 937.1575800493.

The spelling of 823072074 in words is "eight hundred twenty-three million, seventy-two thousand, seventy-four".

Divisors: 1 2 3 6 11 22 33 66 311 622 933 1866 3421 6842 10263 20526 40099 80198 120297 240594 441089 882178 1323267 2646534 12470789 24941578 37412367 74824734 137178679 274357358 411536037 823072074