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3232414328 = 2311213219759
BaseRepresentation
bin1100000010101010…
…1011101001111000
322100021100122212012
43000222223221320
523104444224303
61252425505052
7143050032323
oct30052535170
98307318765
103232414328
111409682800
12762642188
133c68aa700
142294257ba
1513dba25d8
hexc0aaba78

3232414328 has 72 divisors (see below), whose sum is σ = 7214079600. Its totient is φ = 1356189120.

The previous prime is 3232414321. The next prime is 3232414337. The reversal of 3232414328 is 8234142323.

It is a junction number, because it is equal to n+sod(n) for n = 3232414294 and 3232414303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232414321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 153713 + ... + 173471.

It is an arithmetic number, because the mean of its divisors is an integer number (100195550).

Almost surely, 23232414328 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 3232414328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607039800).

3232414328 is an abundant number, since it is smaller than the sum of its proper divisors (3981665272).

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

3232414328 is a wasteful number, since it uses less digits than its factorization.

3232414328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19813 (or 19785 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 3232414328 is about 56854.3254994728. The cubic root of 3232414328 is about 1478.5715350379.

The spelling of 3232414328 in words is "three billion, two hundred thirty-two million, four hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 242 286 338 484 572 676 968 1144 1352 1573 1859 3146 3718 6292 7436 12584 14872 19759 20449 39518 40898 79036 81796 158072 163592 217349 256867 434698 513734 869396 1027468 1738792 2054936 2390839 2825537 3339271 4781678 5651074 6678542 9563356 11302148 13357084 19126712 22604296 26714168 31080907 36731981 62161814 73463962 124323628 146927924 248647256 293855848 404051791 808103582 1616207164 3232414328