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405434112 = 283527909
BaseRepresentation
bin11000001010100…
…110111100000000
31001020220012001020
4120022212330000
51312242342422
6104121505440
713022063436
oct3012467400
91036805036
10405434112
11198947716
12b3942280
1365cc4b55
143bbbad56
15258d895c
hex182a6f00

405434112 has 36 divisors (see below), whose sum is σ = 1079048040. Its totient is φ = 135144448.

The previous prime is 405434093. The next prime is 405434129. The reversal of 405434112 is 211434504.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 3 ways as a sum of consecutive naturals, for example, 263187 + ... + 264722.

Almost surely, 2405434112 is an apocalyptic number.

It is an amenable number.

405434112 is an abundant number, since it is smaller than the sum of its proper divisors (673613928).

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

405434112 is an equidigital number, since it uses as much as digits as its factorization.

405434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527928 (or 527914 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 405434112 is about 20135.3945081789. The cubic root of 405434112 is about 740.1278766104.

Adding to 405434112 its reverse (211434504), we get a palindrome (616868616).

The spelling of 405434112 in words is "four hundred five million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 527909 1055818 1583727 2111636 3167454 4223272 6334908 8446544 12669816 16893088 25339632 33786176 50679264 67572352 101358528 135144704 202717056 405434112