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3224883072 = 27319442007
BaseRepresentation
bin1100000000110111…
…1100111110000000
322022202012000220210
43000031330332000
523101032224242
61252000234120
7142626024315
oct30015747600
98282160823
103224883072
1114053a9424
1276000b940
133c5171748
14228424d0c
1513d1b5d9c
hexc037cf80

3224883072 has 64 divisors (see below), whose sum is σ = 9016963200. Its totient is φ = 1018381824.

The previous prime is 3224883071. The next prime is 3224883073. The reversal of 3224883072 is 2703884223.

It is an interprime number because it is at equal distance from previous prime (3224883071) and next prime (3224883073).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3224883072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224883071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213708 + ... + 228299.

It is an arithmetic number, because the mean of its divisors is an integer number (140890050).

Almost surely, 23224883072 is an apocalyptic number.

3224883072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3224883072 is an abundant number, since it is smaller than the sum of its proper divisors (5792080128).

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

3224883072 is a wasteful number, since it uses less digits than its factorization.

3224883072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442043 (or 442031 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 3224883072 is about 56788.0539550353. The cubic root of 3224883072 is about 1477.4223259031.

The spelling of 3224883072 in words is "three billion, two hundred twenty-four million, eight hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 442007 884014 1326021 1768028 2652042 3536056 5304084 7072112 8398133 10608168 14144224 16796266 21216336 25194399 28288448 33592532 42432672 50388798 56576896 67185064 84865344 100777596 134370128 169730688 201555192 268740256 403110384 537480512 806220768 1074961024 1612441536 3224883072