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3301422432 = 253721163803
BaseRepresentation
bin1100010011000111…
…1011010101100000
322112002012122011220
43010301323111200
523230131004212
61303332535040
7144545425200
oct30461732540
98462178156
103301422432
1114446265a0
12781781480
13407c8c8c9
1423466a400
15144c8438c
hexc4c7b560

3301422432 has 144 divisors (see below), whose sum is σ = 10997767872. Its totient is φ = 857498880.

The previous prime is 3301422391. The next prime is 3301422493. The reversal of 3301422432 is 2342241033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19843 + ... + 83645.

It is an arithmetic number, because the mean of its divisors is an integer number (76373388).

Almost surely, 23301422432 is an apocalyptic number.

3301422432 is a gapful number since it is divisible by the number (32) 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 3301422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498883936).

3301422432 is an abundant number, since it is smaller than the sum of its proper divisors (7696345440).

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

3301422432 is a wasteful number, since it uses less digits than its factorization.

3301422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63841 (or 63826 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3301422432 is about 57458.0058129413. The cubic root of 3301422432 is about 1489.0194338082.

Adding to 3301422432 its reverse (2342241033), we get a palindrome (5643663465).

The spelling of 3301422432 in words is "three billion, three hundred one million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 25872 51744 63803 127606 191409 255212 382818 446621 510424 701833 765636 893242 1020848 1339863 1403666 1531272 1786484 2041696 2105499 2679726 2807332 3062544 3126347 3572968 4210998 4912831 5359452 5614664 6125088 6252694 7145936 8421996 9379041 9825662 10718904 11229328 12505388 14291872 14738493 16843992 18758082 19651324 21437808 22458656 25010776 29476986 33687984 34389817 37516164 39302648 42875616 50021552 58953972 67375968 68779634 75032328 78605296 100043104 103169451 117907944 137559268 150064656 157210592 206338902 235815888 275118536 300129312 412677804 471631776 550237072 825355608 1100474144 1650711216 3301422432