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3340288 = 2117233
BaseRepresentation
bin1100101111100000000000
320021201000101
430233200000
51323342123
6155332144
740251310
oct14574000
96251011
103340288
111981676
121151054
138cc503
1462d440
1545eaad
hex32f800

3340288 has 48 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 1425408.

The previous prime is 3340277. The next prime is 3340291. The reversal of 3340288 is 8820433.

It is a super-2 number, since 2×33402882 = 22315047845888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14220 + ... + 14452.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 23340288 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 3340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

3340288 is an abundant number, since it is smaller than the sum of its proper divisors (4325552).

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

3340288 is an equidigital number, since it uses as much as digits as its factorization.

3340288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 3340288 is about 1827.6454798456. The cubic root of 3340288 is about 149.4839749716.

The spelling of 3340288 in words is "three million, three hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 233 256 448 466 512 896 932 1024 1631 1792 1864 2048 3262 3584 3728 6524 7168 7456 13048 14336 14912 26096 29824 52192 59648 104384 119296 208768 238592 417536 477184 835072 1670144 3340288