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405053430 = 235371013613
BaseRepresentation
bin11000001001001…
…001111111110110
31001020011211211220
4120021021333312
51312143202210
6104105411210
713015616535
oct3011117766
91036154756
10405053430
11198707701
12b3799b06
1365bc07b2
143bb1c31c
1525860c70
hex18249ff6

405053430 has 64 divisors (see below), whose sum is σ = 1008566208. Its totient is φ = 104025600.

The previous prime is 405053357. The next prime is 405053431. The reversal of 405053430 is 34350504.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 405053430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405053431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110304 + ... + 113916.

It is an arithmetic number, because the mean of its divisors is an integer number (15758847).

Almost surely, 2405053430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405053430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504283104).

405053430 is an abundant number, since it is smaller than the sum of its proper divisors (603512778).

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

405053430 is a wasteful number, since it uses less digits than its factorization.

405053430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 405053430 is about 20125.9392327414. The cubic root of 405053430 is about 739.8961565996.

The spelling of 405053430 in words is "four hundred five million, fifty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 101 111 185 202 222 303 370 505 555 606 1010 1110 1515 3030 3613 3737 7226 7474 10839 11211 18065 18685 21678 22422 36130 37370 54195 56055 108390 112110 133681 267362 364913 401043 668405 729826 802086 1094739 1336810 1824565 2005215 2189478 3649130 4010430 5473695 10947390 13501781 27003562 40505343 67508905 81010686 135017810 202526715 405053430