Search a number
-
+
44354000 = 245367331
BaseRepresentation
bin1010100100110…
…0100111010000
310002110102020202
42221030213100
542323312000
64222354332
71046000645
oct251144720
9102412222
1044354000
11230448a9
1212a2b9a8
13925c592
145c67dcc
153d61dd5
hex2a4c9d0

44354000 has 80 divisors (see below), whose sum is σ = 109177536. Its totient is φ = 17424000.

The previous prime is 44353979. The next prime is 44354029. The reversal of 44354000 is 45344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133835 + ... + 134165.

Almost surely, 244354000 is an apocalyptic number.

44354000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54588768).

44354000 is an abundant number, since it is smaller than the sum of its proper divisors (64823536).

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

44354000 is a wasteful number, since it uses less digits than its factorization.

44354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 44354000 is about 6659.8798787966. The cubic root of 44354000 is about 353.9790809773.

Adding to 44354000 its reverse (45344), we get a palindrome (44399344).

The spelling of 44354000 in words is "forty-four million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 331 335 400 500 536 662 670 1000 1072 1324 1340 1655 1675 2000 2648 2680 3310 3350 5296 5360 6620 6700 8275 8375 13240 13400 16550 16750 22177 26480 26800 33100 33500 41375 44354 66200 67000 82750 88708 110885 132400 134000 165500 177416 221770 331000 354832 443540 554425 662000 887080 1108850 1774160 2217700 2772125 4435400 5544250 8870800 11088500 22177000 44354000