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405421434 = 232113495867
BaseRepresentation
bin11000001010100…
…011110101111010
31001020212112122200
4120022203311322
51312241441214
6104121331030
713022011455
oct3012436572
91036775580
10405421434
11198939140
12b3936a76
1365cbc152
143bbb649c
15258d4d09
hex182a3d7a

405421434 has 48 divisors (see below), whose sum is σ = 961178400. Its totient is φ = 122482080.

The previous prime is 405421417. The next prime is 405421453. The reversal of 405421434 is 434124504.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 405421398 and 405421407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66169 + ... + 72035.

It is an arithmetic number, because the mean of its divisors is an integer number (20024550).

Almost surely, 2405421434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405421434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480589200).

405421434 is an abundant number, since it is smaller than the sum of its proper divisors (555756966).

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

405421434 is a wasteful number, since it uses less digits than its factorization.

405421434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 405421434 is about 20135.0796869543. The cubic root of 405421434 is about 740.1201618846.

Adding to 405421434 its reverse (434124504), we get a palindrome (839545938).

The spelling of 405421434 in words is "four hundred five million, four hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 349 698 1047 2094 3141 3839 5867 6282 7678 11517 11734 17601 23034 34551 35202 52803 64537 69102 105606 129074 193611 387222 580833 1161666 2047583 4095166 6142749 12285498 18428247 22523413 36856494 45046826 67570239 135140478 202710717 405421434