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3322668240 = 2432514593163
BaseRepresentation
bin1100011000001011…
…1110010011010000
322120120012000221200
43012002332103100
523301100340430
61305412151200
7145224133263
oct30602762320
98516160850
103322668240
111455617911
12788908500
1340c4bb0a8
142373dacda
15146a7e460
hexc60be4d0

3322668240 has 120 divisors (see below), whose sum is σ = 11169805920. Its totient is φ = 885157632.

The previous prime is 3322668233. The next prime is 3322668253. The reversal of 3322668240 is 428662233.

3322668240 is a `hidden beast` number, since 332 + 26 + 68 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33226682402 = 22080248466209395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3322668195 and 3322668204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048899 + ... + 1052061.

It is an arithmetic number, because the mean of its divisors is an integer number (93081716).

Almost surely, 23322668240 is an apocalyptic number.

3322668240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584902960).

3322668240 is an abundant number, since it is smaller than the sum of its proper divisors (7847137680).

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

3322668240 is a wasteful number, since it uses less digits than its factorization.

3322668240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3322668240 is about 57642.5905038974. The cubic root of 3322668240 is about 1492.2067267166.

The spelling of 3322668240 in words is "three billion, three hundred twenty-two million, six hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1459 2918 3163 4377 5836 6326 7295 8754 9489 11672 12652 13131 14590 15815 17508 18978 21885 23344 25304 26262 28467 29180 31630 35016 37956 43770 47445 50608 52524 56934 58360 63260 65655 70032 75912 87540 94890 105048 113868 116720 126520 131310 142335 151824 175080 189780 210096 227736 253040 262620 284670 350160 379560 455472 525240 569340 759120 1050480 1138680 2277360 4614817 9229634 13844451 18459268 23074085 27688902 36918536 41533353 46148170 55377804 69222255 73837072 83066706 92296340 110755608 138444510 166133412 184592680 207666765 221511216 276889020 332266824 369185360 415333530 553778040 664533648 830667060 1107556080 1661334120 3322668240