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3349248 = 2837289
BaseRepresentation
bin1100110001101100000000
320022011022020
430301230000
51324133443
6155441440
740316400
oct14615400
96264266
103349248
111988381
121156280
13903606
14632800
15462583
hex331b00

3349248 has 108 divisors (see below), whose sum is σ = 10485720. Its totient is φ = 946176.

The previous prime is 3349231. The next prime is 3349259. The reversal of 3349248 is 8429433.

It is a super-2 number, since 2×33492482 = 22434924331008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37588 + ... + 37676.

It is an arithmetic number, because the mean of its divisors is an integer number (97090).

Almost surely, 23349248 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 3349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242860).

3349248 is an abundant number, since it is smaller than the sum of its proper divisors (7136472).

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

3349248 is an equidigital number, since it uses as much as digits as its factorization.

3349248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3349248 is about 1830.0950794972. The cubic root of 3349248 is about 149.6175144164.

The spelling of 3349248 in words is "three million, three hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 89 96 98 112 128 147 168 178 192 196 224 256 267 294 336 356 384 392 448 534 588 623 672 712 768 784 896 1068 1176 1246 1344 1424 1568 1792 1869 2136 2352 2492 2688 2848 3136 3738 4272 4361 4704 4984 5376 5696 6272 7476 8544 8722 9408 9968 11392 12544 13083 14952 17088 17444 18816 19936 22784 26166 29904 34176 34888 37632 39872 52332 59808 68352 69776 79744 104664 119616 139552 159488 209328 239232 279104 418656 478464 558208 837312 1116416 1674624 3349248