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840870324 = 223277146997
BaseRepresentation
bin110010000111101…
…010100110110100
32011121020122020100
4302013222212310
53210230322244
6215234434100
726560164660
oct6207524664
92147218210
10840870324
113a1716358
121b5732930
13105292908
147d9678a0
154dc4bb69
hex321ea9b4

840870324 has 72 divisors (see below), whose sum is σ = 2463447168. Its totient is φ = 236859840.

The previous prime is 840870323. The next prime is 840870343. The reversal of 840870324 is 423078048.

840870324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (840870323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5607 + ... + 41390.

It is an arithmetic number, because the mean of its divisors is an integer number (34214544).

Almost surely, 2840870324 is an apocalyptic number.

840870324 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840870324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231723584).

840870324 is an abundant number, since it is smaller than the sum of its proper divisors (1622576844).

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

840870324 is a wasteful number, since it uses less digits than its factorization.

840870324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47085 (or 47080 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 840870324 is about 28997.7641207042. The cubic root of 840870324 is about 943.8645504334.

The spelling of 840870324 in words is "eight hundred forty million, eight hundred seventy thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5964 8946 17892 46997 93994 140991 187988 281982 328979 422973 563964 657958 845946 986937 1315916 1691892 1973874 2960811 3336787 3947748 5921622 6673574 10010361 11843244 13347148 20020722 23357509 30031083 40041444 46715018 60062166 70072527 93430036 120124332 140145054 210217581 280290108 420435162 840870324