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3442413232 = 2417127227439
BaseRepresentation
bin1100110100101111…
…0000111010110000
322212220111201012101
43031023300322300
524022224210412
61325330510144
7151210013116
oct31513607260
98786451171
103442413232
111507175015
12800a35354
1342b255c0b
1424928bab6
15152334457
hexcd2f0eb0

3442413232 has 80 divisors (see below), whose sum is σ = 7165255680. Its totient is φ = 1596478464.

The previous prime is 3442413223. The next prime is 3442413239. The reversal of 3442413232 is 2323142443.

3442413232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3442413232.

It is not an unprimeable number, because it can be changed into a prime (3442413239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7841269 + ... + 7841707.

It is an arithmetic number, because the mean of its divisors is an integer number (89565696).

Almost surely, 23442413232 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 3442413232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582627840).

3442413232 is an abundant number, since it is smaller than the sum of its proper divisors (3722842448).

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

3442413232 is a wasteful number, since it uses less digits than its factorization.

3442413232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 3442413232 is about 58672.0822197406. The cubic root of 3442413232 is about 1509.9213783020.

Adding to 3442413232 its reverse (2323142443), we get a palindrome (5765555675).

The spelling of 3442413232 in words is "three billion, four hundred forty-two million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 127 136 227 254 272 439 454 508 878 908 1016 1756 1816 2032 2159 3512 3632 3859 4318 7024 7463 7718 8636 14926 15436 17272 28829 29852 30872 34544 55753 57658 59704 61744 99653 111506 115316 119408 199306 223012 230632 398612 446024 461264 490093 797224 892048 947801 980186 1594448 1694101 1895602 1960372 3388202 3791204 3920744 6776404 7582408 7841488 12655931 13552808 15164816 25311862 27105616 50623724 101247448 202494896 215150827 430301654 860603308 1721206616 3442413232