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3420214224 = 243717598777
BaseRepresentation
bin1100101111011100…
…0101001111010000
322211100201212212220
43023313011033100
524001033323344
61323215021040
7150520225020
oct31367051720
98740655786
103420214224
1114a5692629
127b550a780
134267828cb
1424634da80
151503ebc19
hexcbdc53d0

3420214224 has 80 divisors (see below), whose sum is σ = 10691779968. Its totient is φ = 919719936.

The previous prime is 3420214199. The next prime is 3420214253. The reversal of 3420214224 is 4224120243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3420214194 and 3420214203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293677 + ... + 305100.

Almost surely, 23420214224 is an apocalyptic number.

3420214224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3420214224 is an abundant number, since it is smaller than the sum of its proper divisors (7271565744).

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

3420214224 is a wasteful number, since it uses less digits than its factorization.

3420214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598812 (or 598806 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3420214224 is about 58482.5976167270. The cubic root of 3420214224 is about 1506.6687118079.

Adding to 3420214224 its reverse (4224120243), we get a palindrome (7644334467).

The spelling of 3420214224 in words is "three billion, four hundred twenty million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 598777 1197554 1796331 2395108 3592662 4191439 4790216 7185324 8382878 9580432 10179209 12574317 14370648 16765756 20358418 25148634 28741296 30537627 33531512 40716836 50297268 61075254 67063024 71254463 81433672 100594536 122150508 142508926 162867344 201189072 213763389 244301016 285017852 427526778 488602032 570035704 855053556 1140071408 1710107112 3420214224