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14345344 = 271337233
BaseRepresentation
bin110110101110…
…010010000000
3222222211010001
4312232102000
512133022334
61231245344
7232635106
oct66562200
928884101
1014345344
118108962
124979854
132c83690
141c95c76
1513d5714
hexdae480

14345344 has 64 divisors (see below), whose sum is σ = 31744440. Its totient is φ = 6414336.

The previous prime is 14345341. The next prime is 14345347. The reversal of 14345344 is 44354341.

It is an interprime number because it is at equal distance from previous prime (14345341) and next prime (14345347).

It can be written as a sum of positive squares in 4 ways, for example, as 10810944 + 3534400 = 3288^2 + 1880^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14345341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61452 + ... + 61684.

Almost surely, 214345344 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 14345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220).

14345344 is an abundant number, since it is smaller than the sum of its proper divisors (17399096).

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

14345344 is a wasteful number, since it uses less digits than its factorization.

14345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 14345344 is about 3787.5247853975. The cubic root of 14345344 is about 242.9798850957.

Adding to 14345344 its reverse (44354341), we get a palindrome (58699685).

The spelling of 14345344 in words is "fourteen million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 233 296 416 466 481 592 832 932 962 1184 1664 1864 1924 2368 3029 3728 3848 4736 6058 7456 7696 8621 12116 14912 15392 17242 24232 29824 30784 34484 48464 61568 68968 96928 112073 137936 193856 224146 275872 387712 448292 551744 896584 1103488 1793168 3586336 7172672 14345344