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3442302656 = 261319713067
BaseRepresentation
bin1100110100101101…
…0101111011000000
322212220022002111222
43031023111323000
524022212141111
61325324254212
7151206042542
oct31513257300
98786262458
103442302656
1115070a9a31
128009a1368
1342b2177a0
1424925d692
151523117db
hexcd2d5ec0

3442302656 has 112 divisors (see below), whose sum is σ = 7855061760. Its totient is φ = 1483453440.

The previous prime is 3442302601. The next prime is 3442302679. The reversal of 3442302656 is 6562032443.

3442302656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120835 + ... + 1123901.

It is an arithmetic number, because the mean of its divisors is an integer number (70134480).

Almost surely, 23442302656 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 3442302656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927530880).

3442302656 is an abundant number, since it is smaller than the sum of its proper divisors (4412759104).

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

3442302656 is a wasteful number, since it uses less digits than its factorization.

3442302656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The square root of 3442302656 is about 58671.1398900686. The cubic root of 3442302656 is about 1509.9052110725.

The spelling of 3442302656 in words is "three billion, four hundred forty-two million, three hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 71 76 104 142 152 208 247 284 304 416 494 568 608 832 923 988 1136 1216 1349 1846 1976 2272 2698 3067 3692 3952 4544 5396 6134 7384 7904 10792 12268 14768 15808 17537 21584 24536 29536 35074 39871 43168 49072 58273 59072 70148 79742 86336 98144 116546 140296 159484 196288 217757 233092 280592 318968 435514 466184 561184 637936 757549 871028 932368 1122368 1275872 1515098 1742056 1864736 2551744 2830841 3030196 3484112 3729472 4137383 5661682 6060392 6968224 8274766 11323364 12120784 13936448 16549532 22646728 24241568 33099064 45293456 48483136 53785979 66198128 90586912 107571958 132396256 181173824 215143916 264792512 430287832 860575664 1721151328 3442302656