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3322246872 = 2337371035189
BaseRepresentation
bin1100011000000101…
…0111011011011000
322120112101121221110
43012001113123120
523300443344442
61305355140320
7145220426640
oct30601273330
98515347843
103322246872
11145535a27a
127887446a0
1340c3a1369
1423732b520
151469e969c
hexc60576d8

3322246872 has 128 divisors (see below), whose sum is σ = 9845222400. Its totient is φ = 914416128.

The previous prime is 3322246819. The next prime is 3322246883. The reversal of 3322246872 is 2786422233.

It is a super-2 number, since 2×33222468722 = 22074648557027568768, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3322246872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637654 + ... + 642842.

It is an arithmetic number, because the mean of its divisors is an integer number (76915800).

Almost surely, 23322246872 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 3322246872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922611200).

3322246872 is an abundant number, since it is smaller than the sum of its proper divisors (6522975528).

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

3322246872 is a wasteful number, since it uses less digits than its factorization.

3322246872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5341 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 3322246872 is about 57638.9353822570. The cubic root of 3322246872 is about 1492.1436454117.

The spelling of 3322246872 in words is "three billion, three hundred twenty-two million, two hundred forty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 103 111 148 168 206 222 259 296 309 412 444 518 618 721 777 824 888 1036 1236 1442 1554 2072 2163 2472 2884 3108 3811 4326 5189 5768 6216 7622 8652 10378 11433 15244 15567 17304 20756 22866 26677 30488 31134 36323 41512 45732 53354 62268 72646 80031 91464 106708 108969 124536 145292 160062 191993 213416 217938 290584 320124 383986 435876 534467 575979 640248 767972 871752 1068934 1151958 1343951 1535944 1603401 2137868 2303916 2687902 3206802 3741269 4031853 4275736 4607832 5375804 6413604 7482538 8063706 10751608 11223807 12827208 14965076 16127412 19775279 22447614 29930152 32254824 39550558 44895228 59325837 79101116 89790456 118651674 138426953 158202232 237303348 276853906 415280859 474606696 553707812 830561718 1107415624 1661123436 3322246872