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424424040 = 233517375623
BaseRepresentation
bin11001010011000…
…011001001101000
31002120121222022220
4121103003021220
51332123032130
6110040514040
713342354605
oct3123031150
91076558286
10424424040
111a8638077
12ba17b920
1369c135b1
14405216ac
15273da410
hex194c3268

424424040 has 128 divisors (see below), whose sum is σ = 1384853760. Its totient is φ = 103624704.

The previous prime is 424424027. The next prime is 424424041. The reversal of 424424040 is 40424424.

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 424424040.

It is not an unprimeable number, because it can be changed into a prime (424424041) 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, 72669 + ... + 78291.

It is an arithmetic number, because the mean of its divisors is an integer number (10819170).

Almost surely, 2424424040 is an apocalyptic number.

424424040 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 424424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692426880).

424424040 is an abundant number, since it is smaller than the sum of its proper divisors (960429720).

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

424424040 is a wasteful number, since it uses less digits than its factorization.

424424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 424424040 is about 20601.5543102942. The cubic root of 424424040 is about 751.5075100765.

Adding to 424424040 its reverse (40424424), we get a palindrome (464848464).

The spelling of 424424040 in words is "four hundred twenty-four million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1480 1887 2040 2220 2516 3145 3774 4440 5032 5623 6290 7548 9435 11246 12580 15096 16869 18870 22492 25160 28115 33738 37740 44984 56230 67476 75480 84345 95591 112460 134952 168690 191182 208051 224920 286773 337380 382364 416102 477955 573546 624153 674760 764728 832204 955910 1040255 1147092 1248306 1433865 1664408 1911820 2080510 2294184 2496612 2867730 3120765 3536867 3823640 4161020 4993224 5735460 6241530 7073734 8322040 10610601 11470920 12483060 14147468 17684335 21221202 24966120 28294936 35368670 42442404 53053005 70737340 84884808 106106010 141474680 212212020 424424040