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405340104 = 233134131687
BaseRepresentation
bin11000001010001…
…111111111001000
31001020201102002110
4120022033333020
51312231340404
6104115502320
713021222401
oct3012177710
91036642073
10405340104
11198893024
12b38b79a0
1365c91120
143bb949a8
15258bab89
hex1828ffc8

405340104 has 64 divisors (see below), whose sum is σ = 1117952640. Its totient is φ = 121674240.

The previous prime is 405340099. The next prime is 405340139. The reversal of 405340104 is 401043504.

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, 3052 + ... + 28635.

It is an arithmetic number, because the mean of its divisors is an integer number (17468010).

Almost surely, 2405340104 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 405340104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558976320).

405340104 is an abundant number, since it is smaller than the sum of its proper divisors (712612536).

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

405340104 is a wasteful number, since it uses less digits than its factorization.

405340104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31750 (or 31746 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 405340104 is about 20133.0599760692. The cubic root of 405340104 is about 740.0706677095.

Adding to 405340104 its reverse (401043504), we get a palindrome (806383608).

The spelling of 405340104 in words is "four hundred five million, three hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 12792 31687 63374 95061 126748 190122 253496 380244 411931 760488 823862 1235793 1299167 1647724 2471586 2598334 3295448 3897501 4943172 5196668 7795002 9886344 10393336 15590004 16889171 31180008 33778342 50667513 67556684 101335026 135113368 202670052 405340104