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3311313040 = 245717438089
BaseRepresentation
bin1100010101011110…
…1010000010010000
322112202211010112201
43011113222002100
523240144004130
61304324532544
7145025460610
oct30527520220
98482733481
103311313040
11144a171552
12784b51154
1340a043739
14235ac2a40
15145a89bca
hexc55ea090

3311313040 has 160 divisors (see below), whose sum is σ = 9534032640. Its totient is φ = 1043546112.

The previous prime is 3311313029. The next prime is 3311313073. The reversal of 3311313040 is 403131133.

It is a junction number, because it is equal to n+sod(n) for n = 3311312999 and 3311313017.

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 31 ways as a sum of consecutive naturals, for example, 405316 + ... + 413404.

It is an arithmetic number, because the mean of its divisors is an integer number (59587704).

Almost surely, 23311313040 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 3311313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767016320).

3311313040 is an abundant number, since it is smaller than the sum of its proper divisors (6222719600).

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

3311313040 is a wasteful number, since it uses less digits than its factorization.

3311313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169 (or 8163 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3311313040 is about 57544.0095926587. The cubic root of 3311313040 is about 1490.5049172384.

Adding to 3311313040 its reverse (403131133), we get a palindrome (3714444173).

The spelling of 3311313040 in words is "three billion, three hundred eleven million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 43 56 68 70 80 85 86 112 119 136 140 170 172 215 238 272 280 301 340 344 430 476 560 595 602 680 688 731 860 952 1190 1204 1360 1462 1505 1720 1904 2380 2408 2924 3010 3440 3655 4760 4816 5117 5848 6020 7310 8089 9520 10234 11696 12040 14620 16178 20468 24080 25585 29240 32356 40445 40936 51170 56623 58480 64712 80890 81872 102340 113246 129424 137513 161780 204680 226492 275026 283115 323560 347827 409360 452984 550052 566230 647120 687565 695654 905968 962591 1100104 1132460 1375130 1391308 1739135 1925182 2200208 2264920 2434789 2750260 2782616 3478270 3850364 4529840 4812955 4869578 5500520 5565232 5913059 6956540 7700728 9625910 9739156 11001040 11826118 12173945 13913080 15401456 19251820 19478312 23652236 24347890 27826160 29565295 38503640 38956624 41391413 47304472 48695780 59130590 77007280 82782826 94608944 97391560 118261180 165565652 194783120 206957065 236522360 331131304 413914130 473044720 662262608 827828260 1655656520 3311313040