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3427360 = 25531691
BaseRepresentation
bin1101000100110000100000
320110010110021
431010300200
51334133420
6201243224
741063206
oct15046040
96403407
103427360
111a31032
121193514
13930031
14653076
1547a7aa
hex344c20

3427360 has 48 divisors (see below), whose sum is σ = 8370432. Its totient is φ = 1324800.

The previous prime is 3427343. The next prime is 3427363. The reversal of 3427360 is 637243.

It is not an unprimeable number, because it can be changed into a prime (3427363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4615 + ... + 5305.

It is an arithmetic number, because the mean of its divisors is an integer number (174384).

Almost surely, 23427360 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 3427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185216).

3427360 is an abundant number, since it is smaller than the sum of its proper divisors (4943072).

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

3427360 is a wasteful number, since it uses less digits than its factorization.

3427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 3427360 is about 1851.3130475422. The cubic root of 3427360 is about 150.7717264829.

The spelling of 3427360 in words is "three million, four hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 691 992 1240 1382 2480 2764 3455 4960 5528 6910 11056 13820 21421 22112 27640 42842 55280 85684 107105 110560 171368 214210 342736 428420 685472 856840 1713680 3427360