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434520405 = 325111947983
BaseRepresentation
bin11001111001100…
…100000101010101
31010021121220221100
4121321210011111
51342214123110
6111041140313
713524235224
oct3171440525
91107556840
10434520405
11203303680
1210162a699
136c039c87
14419cccbb
1528231bc0
hex19e64155

434520405 has 96 divisors (see below), whose sum is σ = 884183040. Its totient is φ = 195143040.

The previous prime is 434520377. The next prime is 434520409. The reversal of 434520405 is 504025434.

It is not a de Polignac number, because 434520405 - 27 = 434520277 is a prime.

It is a super-2 number, since 2×4345204052 = 377615964722728050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434520409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 441544 + ... + 442526.

It is an arithmetic number, because the mean of its divisors is an integer number (9210240).

Almost surely, 2434520405 is an apocalyptic number.

434520405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

434520405 is an abundant number, since it is smaller than the sum of its proper divisors (449662635).

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

434520405 is a wasteful number, since it uses less digits than its factorization.

434520405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 434520405 is about 20845.1530337390. The cubic root of 434520405 is about 757.4199242218.

Adding to 434520405 its reverse (504025434), we get a palindrome (938545839).

The spelling of 434520405 in words is "four hundred thirty-four million, five hundred twenty thousand, four hundred five".

Divisors: 1 3 5 9 11 15 19 33 45 47 55 57 95 99 141 165 171 209 235 285 423 495 517 627 705 855 893 983 1045 1551 1881 2115 2585 2679 2949 3135 4465 4653 4915 7755 8037 8847 9405 9823 10813 13395 14745 18677 23265 29469 32439 40185 44235 46201 49115 54065 56031 88407 93385 97317 138603 147345 162195 168093 205447 231005 280155 415809 442035 486585 508211 616341 693015 840465 877819 1027235 1524633 1849023 2079045 2541055 2633457 3081705 4389095 4573899 7623165 7900371 9245115 9656009 13167285 22869495 28968027 39501855 48280045 86904081 144840135 434520405