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434423000 = 23531173541
BaseRepresentation
bin11001111001001…
…100010011011000
31010021102222022202
4121321030103120
51342203014000
6111035105332
713523351234
oct3171142330
91107388282
10434423000
11203247480
121015a2248
136c00483b
14419a55c4
1528212dd5
hex19e4c4d8

434423000 has 128 divisors (see below), whose sum is σ = 1126232640. Its totient is φ = 155520000.

The previous prime is 434422991. The next prime is 434423009. The reversal of 434423000 is 324434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434422991) and next prime (434423009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434423009) 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, 802730 + ... + 803270.

Almost surely, 2434423000 is an apocalyptic number.

434423000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563116320).

434423000 is an abundant number, since it is smaller than the sum of its proper divisors (691809640).

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

434423000 is a wasteful number, since it uses less digits than its factorization.

434423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 434423000 is about 20842.8165083321. The cubic root of 434423000 is about 757.3633238870.

Adding to 434423000 its reverse (324434), we get a palindrome (434747434).

The spelling of 434423000 in words is "four hundred thirty-four million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 73 88 100 110 125 146 200 220 250 275 292 365 440 500 541 550 584 730 803 1000 1082 1100 1375 1460 1606 1825 2164 2200 2705 2750 2920 3212 3650 4015 4328 5410 5500 5951 6424 7300 8030 9125 10820 11000 11902 13525 14600 16060 18250 20075 21640 23804 27050 29755 32120 36500 39493 40150 47608 54100 59510 67625 73000 78986 80300 100375 108200 119020 135250 148775 157972 160600 197465 200750 238040 270500 297550 315944 394930 401500 434423 541000 595100 743875 789860 803000 868846 987325 1190200 1487750 1579720 1737692 1974650 2172115 2975500 3475384 3949300 4344230 4936625 5951000 7898600 8688460 9873250 10860575 17376920 19746500 21721150 39493000 43442300 54302875 86884600 108605750 217211500 434423000