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3348540 = 223551353
BaseRepresentation
bin1100110001100000111100
320022010100000
430301200330
51324123130
6155434300
740314336
oct14614074
96263300
103348540
111987898
121155990
139031b0
14632456
15462260
hex33183c

3348540 has 144 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 808704.

The previous prime is 3348533. The next prime is 3348551. The reversal of 3348540 is 458433.

It is a happy number.

It is a super-2 number, since 2×33485402 = 22425440263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

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, 63154 + ... + 63206.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

Almost surely, 23348540 is an apocalyptic number.

3348540 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 3348540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

3348540 is an abundant number, since it is smaller than the sum of its proper divisors (8209188).

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

3348540 is a wasteful number, since it uses less digits than its factorization.

3348540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3348540 is about 1829.9016367007. The cubic root of 3348540 is about 149.6069710879.

The spelling of 3348540 in words is "three million, three hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 53 54 60 65 78 81 90 106 108 117 130 135 156 159 162 180 195 212 234 243 260 265 270 318 324 351 390 405 468 477 486 530 540 585 636 689 702 780 795 810 954 972 1053 1060 1170 1215 1378 1404 1431 1590 1620 1755 1908 2067 2106 2340 2385 2430 2756 2862 3159 3180 3445 3510 4134 4212 4293 4770 4860 5265 5724 6201 6318 6890 7020 7155 8268 8586 9540 10335 10530 12402 12636 12879 13780 14310 15795 17172 18603 20670 21060 21465 24804 25758 28620 31005 31590 37206 41340 42930 51516 55809 62010 63180 64395 74412 85860 93015 111618 124020 128790 167427 186030 223236 257580 279045 334854 372060 558090 669708 837135 1116180 1674270 3348540