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408340044 = 2232715710321
BaseRepresentation
bin11000010101101…
…100011001001100
31001110100211020100
4120111230121030
51314013340134
6104304051100
713055555520
oct3025543114
91043324210
10408340044
1119a551a12
12b4903a90
13667a1738
143c335d80
1525cae999
hex1856c64c

408340044 has 72 divisors (see below), whose sum is σ = 1187277728. Its totient is φ = 115914240.

The previous prime is 408340007. The next prime is 408340061. The reversal of 408340044 is 440043804.

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, 34404 + ... + 44724.

Almost surely, 2408340044 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 408340044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593638864).

408340044 is an abundant number, since it is smaller than the sum of its proper divisors (778937684).

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

408340044 is a wasteful number, since it uses less digits than its factorization.

408340044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10495 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 408340044 is about 20207.4254668921. The cubic root of 408340044 is about 741.8919471740.

Adding to 408340044 its reverse (440043804), we get a palindrome (848383848).

The spelling of 408340044 in words is "four hundred eight million, three hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 157 252 314 471 628 942 1099 1413 1884 2198 2826 3297 4396 5652 6594 9891 10321 13188 19782 20642 30963 39564 41284 61926 72247 92889 123852 144494 185778 216741 288988 371556 433482 650223 866964 1300446 1620397 2600892 3240794 4861191 6481588 9722382 11342779 14583573 19444764 22685558 29167146 34028337 45371116 58334292 68056674 102085011 136113348 204170022 408340044