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823534012 = 227372513167
BaseRepresentation
bin110001000101100…
…010000110111100
32010101121212021201
4301011202012330
53141311042022
6213415105244
726256631540
oct6105420674
92111555251
10823534012
11392955324
121ab972224
13101802a42
147b533a20
154c475127
hex311621bc

823534012 has 48 divisors (see below), whose sum is σ = 1698859008. Its totient is φ = 341928000.

The previous prime is 823534001. The next prime is 823534037. The reversal of 823534012 is 210435328.

It is a super-2 number, since 2×8235340122 = 1356416537841632288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 258453 + ... + 261619.

It is an arithmetic number, because the mean of its divisors is an integer number (35392896).

Almost surely, 2823534012 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 823534012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849429504).

823534012 is an abundant number, since it is smaller than the sum of its proper divisors (875324996).

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

823534012 is a wasteful number, since it uses less digits than its factorization.

823534012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 823534012 is about 28697.2823103513. The cubic root of 823534012 is about 937.3328695729.

The spelling of 823534012 in words is "eight hundred twenty-three million, five hundred thirty-four thousand, twelve".

Divisors: 1 2 4 7 14 28 37 74 148 251 259 502 518 1004 1036 1757 3167 3514 6334 7028 9287 12668 18574 22169 37148 44338 65009 88676 117179 130018 234358 260036 468716 794917 820253 1589834 1640506 3179668 3281012 5564419 11128838 22257676 29411929 58823858 117647716 205883503 411767006 823534012