Search a number
-
+
423408240 = 243255411087
BaseRepresentation
bin11001001111001…
…011001001110000
31002111201100220200
4121033023021300
51331343030430
6110003035200
713330624233
oct3117131160
91074640820
10423408240
111a8003972
12b996bb00
1369949128
144033941a
1527289460
hex193cb270

423408240 has 120 divisors (see below), whose sum is σ = 1425884928. Its totient is φ = 112596480.

The previous prime is 423408191. The next prime is 423408247. The reversal of 423408240 is 42804324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423408247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388977 + ... + 390063.

Almost surely, 2423408240 is an apocalyptic number.

423408240 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 423408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712942464).

423408240 is an abundant number, since it is smaller than the sum of its proper divisors (1002476688).

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

423408240 is a wasteful number, since it uses less digits than its factorization.

423408240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 423408240 is about 20576.8860617927. The cubic root of 423408240 is about 750.9074881774.

The spelling of 423408240 in words is "four hundred twenty-three million, four hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 541 720 1082 1087 1623 2164 2174 2705 3246 3261 4328 4348 4869 5410 5435 6492 6522 8115 8656 8696 9738 9783 10820 10870 12984 13044 16230 16305 17392 19476 19566 21640 21740 24345 25968 26088 32460 32610 38952 39132 43280 43480 48690 48915 52176 64920 65220 77904 78264 86960 97380 97830 129840 130440 156528 194760 195660 260880 389520 391320 588067 782640 1176134 1764201 2352268 2940335 3528402 4704536 5292603 5880670 7056804 8821005 9409072 10585206 11761340 14113608 17642010 21170412 23522680 26463015 28227216 35284020 42340824 47045360 52926030 70568040 84681648 105852060 141136080 211704120 423408240