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3349476 = 22321317421
BaseRepresentation
bin1100110001101111100100
320022011121200
430301233210
51324140401
6155442500
740320144
oct14615744
96264550
103349476
111988569
121156430
13903750
14632924
15462686
hex331be4

3349476 has 72 divisors (see below), whose sum is σ = 9677304. Its totient is φ = 967680.

The previous prime is 3349469. The next prime is 3349501. The reversal of 3349476 is 6749433.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 3348900 = 24^2 + 1830^2 .

It is a super-2 number, since 2×33494762 = 22437978949152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 310 + 313 + 42 + 92 + 47 + 7 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3349476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7746 + ... + 8166.

It is an arithmetic number, because the mean of its divisors is an integer number (134407).

Almost surely, 23349476 is an apocalyptic number.

3349476 is a gapful number since it is divisible by the number (36) 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 3349476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838652).

3349476 is an abundant number, since it is smaller than the sum of its proper divisors (6327828).

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

3349476 is a wasteful number, since it uses less digits than its factorization.

3349476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 456 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3349476 is about 1830.1573702827. The cubic root of 3349476 is about 149.6209094093.

The spelling of 3349476 in words is "three million, three hundred forty-nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 421 442 468 612 663 842 884 1263 1326 1684 1989 2526 2652 3789 3978 5052 5473 7157 7578 7956 10946 14314 15156 16419 21471 21892 28628 32838 42942 49257 64413 65676 85884 93041 98514 128826 186082 197028 257652 279123 372164 558246 837369 1116492 1674738 3349476