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3427296 = 253191879
BaseRepresentation
bin1101000100101111100000
320110010100220
431010233200
51334133141
6201243040
741063055
oct15045740
96403326
103427296
111a30a84
121193480
1392ccb2
1465302c
1547a766
hex344be0

3427296 has 48 divisors (see below), whose sum is σ = 9475200. Its totient is φ = 1081728.

The previous prime is 3427289. The next prime is 3427309. The reversal of 3427296 is 6927243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 885 + ... + 2763.

It is an arithmetic number, because the mean of its divisors is an integer number (197400).

Almost surely, 23427296 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 3427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737600).

3427296 is an abundant number, since it is smaller than the sum of its proper divisors (6047904).

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

3427296 is a wasteful number, since it uses less digits than its factorization.

3427296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1903 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 3427296 is about 1851.2957624324. The cubic root of 3427296 is about 150.7707880103.

The spelling of 3427296 in words is "three million, four hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 1879 3758 5637 7516 11274 15032 22548 30064 35701 45096 60128 71402 90192 107103 142804 180384 214206 285608 428412 571216 856824 1142432 1713648 3427296