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3346420 = 2257114153
BaseRepresentation
bin1100110000111111110100
320022000102111
430300333310
51324041140
6155420404
740305220
oct14607764
96260374
103346420
111986240
121154704
1390223c
14631780
154617ea
hex330ff4

3346420 has 96 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 998400.

The previous prime is 3346417. The next prime is 3346457. The reversal of 3346420 is 246433.

It is a super-2 number, since 2×33464202 = 22397053632800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 38 + 313 + 44 + 68 + 48 + 27 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3346391 and 3346400.

It is a congruent number.

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, 63114 + ... + 63166.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

Almost surely, 23346420 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 3346420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

3346420 is an abundant number, since it is smaller than the sum of its proper divisors (5798156).

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

3346420 is a wasteful number, since it uses less digits than its factorization.

3346420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3346420 is about 1829.3222788782. The cubic root of 3346420 is about 149.5753917791.

The spelling of 3346420 in words is "three million, three hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 53 55 70 77 82 106 110 140 154 164 205 212 220 265 287 308 371 385 410 451 530 574 583 742 770 820 902 1060 1148 1166 1435 1484 1540 1804 1855 2173 2255 2332 2870 2915 3157 3710 4081 4346 4510 5740 5830 6314 7420 8162 8692 9020 10865 11660 12628 15211 15785 16324 20405 21730 23903 30422 31570 40810 43460 47806 60844 63140 76055 81620 95612 119515 152110 167321 239030 304220 334642 478060 669284 836605 1673210 3346420