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3441420220 = 2257192149457
BaseRepresentation
bin1100110100011111…
…1110011110111100
322212211122021001011
43031013332132330
524022000421340
61325253325004
7151165406050
oct31507763674
98784567034
103441420220
111506656a47
12800636764
1342ac98c34
142490adc60
151521da0ea
hexcd1fe7bc

3441420220 has 144 divisors (see below), whose sum is σ = 8794699200. Its totient is φ = 1107883008.

The previous prime is 3441420193. The next prime is 3441420253. The reversal of 3441420220 is 220241443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3441420191 and 3441420200.

It is a congruent number.

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, 7530232 + ... + 7530688.

It is an arithmetic number, because the mean of its divisors is an integer number (61074300).

Almost surely, 23441420220 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 3441420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397349600).

3441420220 is an abundant number, since it is smaller than the sum of its proper divisors (5353278980).

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

3441420220 is a wasteful number, since it uses less digits than its factorization.

3441420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3441420220 is about 58663.6192200924. The cubic root of 3441420220 is about 1509.7761783951.

Adding to 3441420220 its reverse (220241443), we get a palindrome (3661661663).

The spelling of 3441420220 in words is "three billion, four hundred forty-one million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 149 190 266 298 361 380 457 532 596 665 722 745 914 1043 1330 1444 1490 1805 1828 2086 2285 2527 2660 2831 2980 3199 3610 4172 4570 5054 5215 5662 6398 7220 8683 9140 10108 10430 11324 12635 12796 14155 15995 17366 19817 20860 25270 28310 31990 34732 39634 43415 50540 53789 56620 60781 63980 68093 79268 86830 99085 107578 121562 136186 164977 173660 198170 215156 243124 268945 272372 303905 329954 340465 376523 396340 476651 537890 607810 659908 680930 753046 824885 953302 1075780 1154839 1215620 1293767 1361860 1506092 1649770 1882615 1906604 2309678 2383255 2587534 3299540 3765230 4619356 4766510 5175068 5774195 6468835 7530460 9056369 9533020 11548390 12937670 18112738 23096780 24581573 25875340 36225476 45281845 49163146 90563690 98326292 122907865 172071011 181127380 245815730 344142022 491631460 688284044 860355055 1720710110 3441420220