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44342120 = 23517611069
BaseRepresentation
bin1010100100100…
…1101101101000
310002102210221202
42221021231220
542322421440
64222223332
71045621214
oct251115550
9102383852
1044342120
1123036989
1212a24b48
139257054
145c63944
153d5d615
hex2a49b68

44342120 has 64 divisors (see below), whose sum is σ = 107470800. Its totient is φ = 16404480.

The previous prime is 44342119. The next prime is 44342153. The reversal of 44342120 is 2124344.

It can be written as a sum of positive squares in 8 ways, for example, as 11874916 + 32467204 = 3446^2 + 5698^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 44342092 and 44342101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40946 + ... + 42014.

Almost surely, 244342120 is an apocalyptic number.

44342120 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 44342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53735400).

44342120 is an abundant number, since it is smaller than the sum of its proper divisors (63128680).

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

44342120 is a wasteful number, since it uses less digits than its factorization.

44342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 44342120 is about 6658.9879110868. The cubic root of 44342120 is about 353.9474743053.

Adding to 44342120 its reverse (2124344), we get a palindrome (46466464).

The spelling of 44342120 in words is "forty-four million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1069 1220 2074 2138 2440 4148 4276 5185 5345 8296 8552 10370 10690 18173 20740 21380 36346 41480 42760 65209 72692 90865 130418 145384 181730 260836 326045 363460 521672 652090 726920 1108553 1304180 2217106 2608360 4434212 5542765 8868424 11085530 22171060 44342120