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830844324 = 223337533923
BaseRepresentation
bin110001100001011…
…010110110100100
32010220101021011000
4301201122312210
53200144004244
6214235513300
726406026442
oct6141326644
92126337130
10830844324
11396a98702
121b22b8830
1310319227b
147c4b7b92
154ce1b169
hex3185ada4

830844324 has 96 divisors (see below), whose sum is σ = 2254573440. Its totient is φ = 264311424.

The previous prime is 830844319. The next prime is 830844337. The reversal of 830844324 is 423448038.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209827 + ... + 213749.

It is an arithmetic number, because the mean of its divisors is an integer number (23485140).

Almost surely, 2830844324 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 830844324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127286720).

830844324 is an abundant number, since it is smaller than the sum of its proper divisors (1423729116).

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

830844324 is a wasteful number, since it uses less digits than its factorization.

830844324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 830844324 is about 28824.3703140242. The cubic root of 830844324 is about 940.0981955665.

The spelling of 830844324 in words is "eight hundred thirty million, eight hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 53 54 74 106 108 111 148 159 212 222 318 333 444 477 636 666 954 999 1332 1431 1908 1961 1998 2862 3922 3923 3996 5724 5883 7844 7846 11766 11769 15692 17649 23532 23538 35298 35307 47076 52947 70596 70614 105894 105921 141228 145151 207919 211788 211842 290302 415838 423684 435453 580604 623757 831676 870906 1247514 1306359 1741812 1871271 2495028 2612718 3742542 3919077 5225436 5613813 7485084 7693003 7838154 11227626 15386006 15676308 22455252 23079009 30772012 46158018 69237027 92316036 138474054 207711081 276948108 415422162 830844324