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4145344 = 26719487
BaseRepresentation
bin1111110100000011000000
321210121100021
433310003000
52030122334
6224503224
750143360
oct17640300
97717307
104145344
112381505
12147ab14
13b21a88
1479c9a0
1556d3b4
hex3f40c0

4145344 has 56 divisors (see below), whose sum is σ = 9916160. Its totient is φ = 1679616.

The previous prime is 4145341. The next prime is 4145371. The reversal of 4145344 is 4435414.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4145341) 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, 8269 + ... + 8755.

Almost surely, 24145344 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 4145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958080).

4145344 is an abundant number, since it is smaller than the sum of its proper divisors (5770816).

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

4145344 is a wasteful number, since it uses less digits than its factorization.

4145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 4145344 is about 2036.0117877851. The cubic root of 4145344 is about 160.6399370909.

It can be divided in two parts, 4145 and 344, that added together give a square (4489 = 672).

The spelling of 4145344 in words is "four million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 487 532 608 974 1064 1216 1948 2128 3409 3896 4256 6818 7792 8512 9253 13636 15584 18506 27272 31168 37012 54544 64771 74024 109088 129542 148048 218176 259084 296096 518168 592192 1036336 2072672 4145344