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3442323132 = 2232178963199
BaseRepresentation
bin1100110100101101…
…1010111010111100
322212220100010121100
43031023122322330
524022213320012
61325324533100
7151206156333
oct31513327274
98786303540
103442323132
111507113356
128009b1190
1342b223bc1
14249266d1a
151523178dc
hexcd2daebc

3442323132 has 72 divisors (see below), whose sum is σ = 9316944000. Its totient is φ = 1067793408.

The previous prime is 3442323121. The next prime is 3442323151. The reversal of 3442323132 is 2313232443.

3442323132 is a `hidden beast` number, since 3 + 4 + 423 + 231 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3442323096 and 3442323105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22869 + ... + 86067.

It is an arithmetic number, because the mean of its divisors is an integer number (129402000).

Almost surely, 23442323132 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 3442323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658472000).

3442323132 is an abundant number, since it is smaller than the sum of its proper divisors (5874620868).

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

3442323132 is a wasteful number, since it uses less digits than its factorization.

3442323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63315 (or 63310 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 3442323132 is about 58671.3143878676. The cubic root of 3442323132 is about 1509.9082048784.

Adding to 3442323132 its reverse (2313232443), we get a palindrome (5755555575).

The spelling of 3442323132 in words is "three billion, four hundred forty-two million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 89 102 153 178 204 267 306 356 534 612 801 1068 1513 1602 3026 3204 4539 6052 9078 13617 18156 27234 54468 63199 126398 189597 252796 379194 568791 758388 1074383 1137582 2148766 2275164 3223149 4297532 5624711 6446298 9669447 11249422 12892596 16874133 19338894 22498844 33748266 38677788 50622399 67496532 95620087 101244798 191240174 202489596 286860261 382480348 573720522 860580783 1147441044 1721161566 3442323132