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3421344 = 253157227
BaseRepresentation
bin1101000011010010100000
320102211012110
431003102200
51333440334
6201155320
741036523
oct15032240
96384173
103421344
111a27563
12118bb40
1392a384
14650bba
15478ae9
hex3434a0

3421344 has 48 divisors (see below), whose sum is σ = 9078048. Its totient is φ = 1128192.

The previous prime is 3421331. The next prime is 3421373. The reversal of 3421344 is 4431243.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 3421344.

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, 14959 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (189126).

Almost surely, 23421344 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 3421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539024).

3421344 is an abundant number, since it is smaller than the sum of its proper divisors (5656704).

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

3421344 is a wasteful number, since it uses less digits than its factorization.

3421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 3421344 is about 1849.6875411809. The cubic root of 3421344 is about 150.6834589406.

Adding to 3421344 its reverse (4431243), we get a palindrome (7852587).

The spelling of 3421344 in words is "three million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 227 314 454 471 628 681 908 942 1256 1362 1816 1884 2512 2724 3632 3768 5024 5448 7264 7536 10896 15072 21792 35639 71278 106917 142556 213834 285112 427668 570224 855336 1140448 1710672 3421344