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3427368 = 233723887
BaseRepresentation
bin1101000100110000101000
320110010110120
431010300220
51334133433
6201243240
741063220
oct15046050
96403416
103427368
111a3103a
121193520
13930039
14653080
1547a7b3
hex344c28

3427368 has 64 divisors (see below), whose sum is σ = 10229760. Its totient is φ = 935616.

The previous prime is 3427367. The next prime is 3427379. The reversal of 3427368 is 8637243.

3427368 is nontrivially palindromic in base 13.

It is a nude number because it is divisible by every one of its digits.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3421 + ... + 4307.

It is an arithmetic number, because the mean of its divisors is an integer number (159840).

Almost surely, 23427368 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 3427368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114880).

3427368 is an abundant number, since it is smaller than the sum of its proper divisors (6802392).

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

3427368 is a wasteful number, since it uses less digits than its factorization.

3427368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 922 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3427368 is about 1851.3152081696. The cubic root of 3427368 is about 150.7718437911.

The spelling of 3427368 in words is "three million, four hundred twenty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 887 966 1288 1774 1932 2661 3548 3864 5322 6209 7096 10644 12418 18627 20401 21288 24836 37254 40802 49672 61203 74508 81604 122406 142807 149016 163208 244812 285614 428421 489624 571228 856842 1142456 1713684 3427368