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3322632964 = 2272533171009
BaseRepresentation
bin1100011000001011…
…0101101100000100
322120120010020120011
43012002311230010
523301043223324
61305411320004
7145223625400
oct30602655404
98516106504
103322632964
1114555a3362
127888b0004
1340c4a8011
142373cc100
15146a73c94
hexc60b5b04

3322632964 has 72 divisors (see below), whose sum is σ = 6920144280. Its totient is φ = 1391330304.

The previous prime is 3322632959. The next prime is 3322632977. The reversal of 3322632964 is 4692362233.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59938564 + 3262694400 = 7742^2 + 57120^2 .

It is a super-2 number, since 2×33226329642 = 22079779626918850592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3292492 + ... + 3293500.

It is an arithmetic number, because the mean of its divisors is an integer number (96113115).

Almost surely, 23322632964 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 3322632964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460072140).

3322632964 is an abundant number, since it is smaller than the sum of its proper divisors (3597511316).

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

3322632964 is a wasteful number, since it uses less digits than its factorization.

3322632964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1388 counting only the distinct ones).

The product of its digits is 279936, while the sum is 40.

The square root of 3322632964 is about 57642.2845140614. The cubic root of 3322632964 is about 1492.2014458934.

The spelling of 3322632964 in words is "three billion, three hundred twenty-two million, six hundred thirty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 317 371 634 742 1009 1268 1484 2018 2219 2597 4036 4438 5194 7063 8876 10388 14126 15533 16801 28252 31066 33602 49441 53477 62132 67204 98882 106954 117607 197764 213908 235214 319853 374339 470428 639706 748678 823249 1279412 1497356 1646498 2238971 2620373 3292996 4477942 5240746 8955884 10481492 15672797 16952209 31345594 33904418 62691188 67808836 118665463 237330926 474661852 830658241 1661316482 3322632964