Search a number
-
+
423410000 = 2454133257
BaseRepresentation
bin11001001111001…
…011100101010000
31002111201110022212
4121033023211100
51331343110000
6110003051252
713330632326
oct3117134520
91074643285
10423410000
111a8005222
12b9970b28
1369949b80
1440339d16
1527289c35
hex193cb950

423410000 has 100 divisors (see below), whose sum is σ = 1104312132. Its totient is φ = 156288000.

The previous prime is 423409969. The next prime is 423410011. The reversal of 423410000 is 14324.

It can be written as a sum of positive squares in 10 ways, for example, as 324288064 + 99121936 = 18008^2 + 9956^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128372 + ... + 131628.

Almost surely, 2423410000 is an apocalyptic number.

423410000 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 423410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552156066).

423410000 is an abundant number, since it is smaller than the sum of its proper divisors (680902132).

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

423410000 is a wasteful number, since it uses less digits than its factorization.

423410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 423410000 is about 20576.9288281804. The cubic root of 423410000 is about 750.9085286196.

Adding to 423410000 its reverse (14324), we get a palindrome (423424324).

The spelling of 423410000 in words is "four hundred twenty-three million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 3257 5000 5200 6500 6514 8125 10000 13000 13028 16250 16285 26000 26056 32500 32570 42341 52112 65000 65140 81425 84682 130000 130280 162850 169364 211705 260560 325700 338728 407125 423410 651400 677456 814250 846820 1058525 1302800 1628500 1693640 2035625 2117050 3257000 3387280 4071250 4234100 5292625 6514000 8142500 8468200 10585250 16285000 16936400 21170500 26463125 32570000 42341000 52926250 84682000 105852500 211705000 423410000