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405068334 = 2311192271423
BaseRepresentation
bin11000001001001…
…101101000101110
31001020012121021220
4120021031220232
51312144141314
6104110004210
713016011146
oct3011155056
91036177256
10405068334
11198717920
12b37a6666
1365bc7508
143bb23926
15258653a9
hex1824da2e

405068334 has 64 divisors (see below), whose sum is σ = 935055360. Its totient is φ = 115693920.

The previous prime is 405068329. The next prime is 405068357. The reversal of 405068334 is 433860504.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 405068295 and 405068304.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 283947 + ... + 285369.

It is an arithmetic number, because the mean of its divisors is an integer number (14610240).

Almost surely, 2405068334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405068334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467527680).

405068334 is an abundant number, since it is smaller than the sum of its proper divisors (529987026).

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

405068334 is a wasteful number, since it uses less digits than its factorization.

405068334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 405068334 is about 20126.3094977693. The cubic root of 405068334 is about 739.9052313506.

The spelling of 405068334 in words is "four hundred five million, sixty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 227 418 454 627 681 1254 1362 1423 2497 2846 4269 4313 4994 7491 8538 8626 12939 14982 15653 25878 27037 31306 46959 47443 54074 81111 93918 94886 142329 162222 284658 297407 323021 594814 646042 892221 969063 1784442 1938126 3553231 6137399 7106462 10659693 12274798 18412197 21319386 36824394 67511389 135022778 202534167 405068334