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3420266220 = 2232575095333
BaseRepresentation
bin1100101111011101…
…0001111011101100
322211100211112012200
43023313101323230
524001042004340
61323220101500
7150520532430
oct31367217354
98740745180
103420266220
1114a57186a8
127b5534890
134267a0487
142463649c0
1515040c330
hexcbdd1eec

3420266220 has 144 divisors (see below), whose sum is σ = 11882445120. Its totient is φ = 780092928.

The previous prime is 3420266203. The next prime is 3420266231. The reversal of 3420266220 is 226620243.

3420266220 is a `hidden beast` number, since 34 + 2 + 0 + 2 + 6 + 622 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638674 + ... + 644006.

It is an arithmetic number, because the mean of its divisors is an integer number (82516980).

Almost surely, 23420266220 is an apocalyptic number.

3420266220 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 3420266220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941222560).

3420266220 is an abundant number, since it is smaller than the sum of its proper divisors (8462178900).

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

3420266220 is a wasteful number, since it uses less digits than its factorization.

3420266220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3420266220 is about 58483.0421575349. The cubic root of 3420266220 is about 1506.6763468413.

Adding to 3420266220 its reverse (226620243), we get a palindrome (3646886463).

The spelling of 3420266220 in words is "three billion, four hundred twenty million, two hundred sixty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 509 630 1018 1260 1527 2036 2545 3054 3563 4581 5090 5333 6108 7126 7635 9162 10180 10666 10689 14252 15270 15999 17815 18324 21332 21378 22905 26665 30540 31998 32067 35630 37331 42756 45810 47997 53330 53445 63996 64134 71260 74662 79995 91620 95994 106660 106890 111993 128268 149324 159990 160335 186655 191988 213780 223986 239985 319980 320670 335979 373310 447972 479970 559965 641340 671958 746620 959940 1119930 1343916 1679895 2239860 2714497 3359790 5428994 6719580 8143491 10857988 13572485 16286982 19001479 24430473 27144970 32573964 38002958 40717455 48860946 54289940 57004437 76005916 81434910 95007395 97721892 114008874 122152365 162869820 171013311 190014790 228017748 244304730 285022185 342026622 380029580 488609460 570044370 684053244 855066555 1140088740 1710133110 3420266220