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44412324 = 22311273419
BaseRepresentation
bin1010100101101…
…0110110100100
310002120101020220
42221122312210
542332143244
64223524340
71046332665
oct251326644
9102511226
1044412324
1123084700
1212a596b0
13927cca8
145c8136c
153d74319
hex2a5ada4

44412324 has 72 divisors (see below), whose sum is σ = 115741920. Its totient is φ = 13242240.

The previous prime is 44412301. The next prime is 44412337. The reversal of 44412324 is 42321444.

It is a happy number.

44412324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 44412294 and 44412303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105787 + ... + 106205.

Almost surely, 244412324 is an apocalyptic number.

44412324 is a gapful number since it is divisible by the number (44) 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 44412324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57870960).

44412324 is an abundant number, since it is smaller than the sum of its proper divisors (71329596).

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

44412324 is a wasteful number, since it uses less digits than its factorization.

44412324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 44412324 is about 6664.2571979179. The cubic root of 44412324 is about 354.1341698319.

Adding to 44412324 its reverse (42321444), we get a palindrome (86733768).

The spelling of 44412324 in words is "forty-four million, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 121 132 146 219 242 292 363 419 438 484 726 803 838 876 1257 1452 1606 1676 2409 2514 3212 4609 4818 5028 8833 9218 9636 13827 17666 18436 26499 27654 30587 35332 50699 52998 55308 61174 91761 101398 105996 122348 152097 183522 202796 304194 336457 367044 608388 672914 1009371 1345828 2018742 3701027 4037484 7402054 11103081 14804108 22206162 44412324