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3314212020 = 2232572375761
BaseRepresentation
bin1100010110001010…
…1101110010110100
322112222021102012100
43011202231302310
523241414241040
61304511022100
7145062223500
oct30542556264
98488242170
103314212020
1114508715a9
12785b0a930
1340a81a102
14236239300
15145e5db30
hexc58adcb4

3314212020 has 108 divisors (see below), whose sum is σ = 11694464964. Its totient is φ = 757532160.

The previous prime is 3314212001. The next prime is 3314212021. The reversal of 3314212020 is 202124133.

3314212020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 597509136 + 2716702884 = 24444^2 + 52122^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3314211984 and 3314212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314212021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 179061 + ... + 196700.

It is an arithmetic number, because the mean of its divisors is an integer number (108282083).

Almost surely, 23314212020 is an apocalyptic number.

3314212020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3314212020 is an abundant number, since it is smaller than the sum of its proper divisors (8380252944).

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

3314212020 is a wasteful number, since it uses less digits than its factorization.

3314212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375790 (or 375778 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3314212020 is about 57569.1933242077. The cubic root of 3314212020 is about 1490.9397581956.

Adding to 3314212020 its reverse (202124133), we get a palindrome (3516336153).

The spelling of 3314212020 in words is "three billion, three hundred fourteen million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 375761 751522 1127283 1503044 1878805 2254566 2630327 3381849 3757610 4509132 5260654 5636415 6763698 7515220 7890981 10521308 11272830 13151635 13527396 15781962 16909245 18412289 22545660 23672943 26303270 31563924 33818490 36824578 39454905 47345886 52606540 55236867 67636980 73649156 78909810 92061445 94691772 110473734 118364715 157819620 165710601 184122890 220947468 236729430 276184335 331421202 368245780 473458860 552368670 662842404 828553005 1104737340 1657106010 3314212020