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3442858468 = 2274317316529
BaseRepresentation
bin1100110100110101…
…1101100111100100
322212221100022221121
43031031131213210
524022332432333
61325344223324
7151213546150
oct31515354744
98787308847
103442858468
111507449585
1280100ab44
1342b38077a
14249366060
151523c132d
hexcd35d9e4

3442858468 has 48 divisors (see below), whose sum is σ = 7087006080. Its totient is φ = 1432779264.

The previous prime is 3442858459. The next prime is 3442858469. The reversal of 3442858468 is 8648582443.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3442858469) 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, 200028 + ... + 216556.

It is an arithmetic number, because the mean of its divisors is an integer number (147645960).

Almost surely, 23442858468 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 3442858468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543503040).

3442858468 is an abundant number, since it is smaller than the sum of its proper divisors (3644147612).

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

3442858468 is a wasteful number, since it uses less digits than its factorization.

3442858468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16756 (or 16754 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 52.

The square root of 3442858468 is about 58675.8763718106. The cubic root of 3442858468 is about 1509.9864724019.

The spelling of 3442858468 in words is "three billion, four hundred forty-two million, eight hundred fifty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 43 86 172 173 301 346 602 692 1204 1211 2422 4844 7439 14878 16529 29756 33058 52073 66116 104146 115703 208292 231406 462812 710747 1421494 2842988 2859517 4975229 5719034 9950458 11438068 19900916 20016619 40033238 80066476 122959231 245918462 491836924 860714617 1721429234 3442858468