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434423304 = 233371716901
BaseRepresentation
bin11001111001001…
…100011000001000
31010021102222202000
4121321030120020
51342203021204
6111035111000
713523352150
oct3171143010
91107388660
10434423304
11203247727
121015a2460
136c004a13
14419a5760
1528213039
hex19e4c608

434423304 has 128 divisors (see below), whose sum is σ = 1460332800. Its totient is φ = 116812800.

The previous prime is 434423299. The next prime is 434423309. The reversal of 434423304 is 403324434.

It is an interprime number because it is at equal distance from previous prime (434423299) and next prime (434423309).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (434423309) 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, 17254 + ... + 34154.

It is an arithmetic number, because the mean of its divisors is an integer number (11408850).

Almost surely, 2434423304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434423304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730166400).

434423304 is an abundant number, since it is smaller than the sum of its proper divisors (1025909496).

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

434423304 is a wasteful number, since it uses less digits than its factorization.

434423304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16940 (or 16930 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 434423304 is about 20842.8238010112. The cubic root of 434423304 is about 757.3635005492.

Adding to 434423304 its reverse (403324434), we get a palindrome (837747738).

The spelling of 434423304 in words is "four hundred thirty-four million, four hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 16901 25704 33802 50703 67604 101406 118307 135208 152109 202812 236614 287317 304218 354921 405624 456327 473228 574634 608436 709842 861951 912654 946456 1064763 1149268 1216872 1419684 1723902 1825308 2011219 2129526 2298536 2585853 2839368 3194289 3447804 3650616 4022438 4259052 5171706 6033657 6388578 6895608 7757559 8044876 8518104 10343412 12067314 12777156 15515118 16089752 18100971 20686824 24134628 25554312 31030236 36201942 48269256 54302913 62060472 72403884 108605826 144807768 217211652 434423304