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423115440 = 243511293547
BaseRepresentation
bin11001001110000…
…011101010110000
31002111011111021020
4121032003222300
51331304143230
6105552455440
713325264466
oct3116035260
91074144236
10423115440
111a7923990
12b984a580
1369875a87
14402a0836
152722c810
hex19383ab0

423115440 has 160 divisors (see below), whose sum is σ = 1438407936. Its totient is φ = 102036480.

The previous prime is 423115421. The next prime is 423115447. The reversal of 423115440 is 44511324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 423115440.

It is not an unprimeable number, because it can be changed into a prime (423115447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773247 + ... + 773793.

Almost surely, 2423115440 is an apocalyptic number.

423115440 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 423115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719203968).

423115440 is an abundant number, since it is smaller than the sum of its proper divisors (1015292496).

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

423115440 is a wasteful number, since it uses less digits than its factorization.

423115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 423115440 is about 20569.7700521907. The cubic root of 423115440 is about 750.7343562820.

Adding to 423115440 its reverse (44511324), we get a palindrome (467626764).

The spelling of 423115440 in words is "four hundred twenty-three million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 293 330 440 528 547 586 660 879 880 1094 1172 1320 1465 1641 1758 2188 2344 2640 2735 2930 3223 3282 3516 4376 4395 4688 5470 5860 6017 6446 6564 7032 8205 8752 8790 9669 10940 11720 12034 12892 13128 14064 16115 16410 17580 18051 19338 21880 23440 24068 25784 26256 30085 32230 32820 35160 36102 38676 43760 48136 48345 51568 60170 64460 65640 70320 72204 77352 90255 96272 96690 120340 128920 131280 144408 154704 160271 180510 193380 240680 257840 288816 320542 361020 386760 480813 481360 641084 722040 773520 801355 961626 1282168 1444080 1602710 1762981 1923252 2404065 2564336 3205420 3525962 3846504 4808130 5288943 6410840 7051924 7693008 8814905 9616260 10577886 12821680 14103848 17629810 19232520 21155772 26444715 28207696 35259620 38465040 42311544 52889430 70519240 84623088 105778860 141038480 211557720 423115440