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424313040 = 24353771673
BaseRepresentation
bin11001010010101…
…000000011010000
31002120102100001210
4121102220003100
51332111004130
6110034300120
713341413154
oct3122500320
91076370053
10424313040
111a8571738
12ba127640
1369ba4c08
14404d3064
15273b75b0
hex194a80d0

424313040 has 160 divisors (see below), whose sum is σ = 1371983616. Its totient is φ = 108380160.

The previous prime is 424313033. The next prime is 424313041. The reversal of 424313040 is 40313424.

It is a junction number, because it is equal to n+sod(n) for n = 424312998 and 424313016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424313041) 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, 630144 + ... + 630816.

Almost surely, 2424313040 is an apocalyptic number.

424313040 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 424313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685991808).

424313040 is an abundant number, since it is smaller than the sum of its proper divisors (947670576).

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

424313040 is a wasteful number, since it uses less digits than its factorization.

424313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 424313040 is about 20598.8601626401. The cubic root of 424313040 is about 751.4419902199.

Adding to 424313040 its reverse (40313424), we get a palindrome (464626464).

The spelling of 424313040 in words is "four hundred twenty-four million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 71 74 80 111 120 142 148 185 213 222 240 284 296 355 370 426 444 555 568 592 673 710 740 852 888 1065 1110 1136 1346 1420 1480 1704 1776 2019 2130 2220 2627 2692 2840 2960 3365 3408 4038 4260 4440 5254 5384 5680 6730 7881 8076 8520 8880 10095 10508 10768 13135 13460 15762 16152 17040 20190 21016 24901 26270 26920 31524 32304 39405 40380 42032 47783 49802 52540 53840 63048 74703 78810 80760 95566 99604 105080 124505 126096 143349 149406 157620 161520 191132 199208 210160 238915 249010 286698 298812 315240 373515 382264 398416 477830 498020 573396 597624 630480 716745 747030 764528 955660 996040 1146792 1195248 1433490 1494060 1767971 1911320 1992080 2293584 2866980 2988120 3535942 3822640 5303913 5733960 5976240 7071884 8839855 10607826 11467920 14143768 17679710 21215652 26519565 28287536 35359420 42431304 53039130 70718840 84862608 106078260 141437680 212156520 424313040