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424777340 = 2251323251283
BaseRepresentation
bin11001010100011…
…001011001111100
31002121021220222002
4121110121121330
51332220333330
6110052241432
713345355621
oct3124313174
91077256862
10424777340
111a8859559
12ba310278
136a008350
14405b4348
1527459e45
hex1951967c

424777340 has 96 divisors (see below), whose sum is σ = 1009967616. Its totient is φ = 148896000.

The previous prime is 424777337. The next prime is 424777361. The reversal of 424777340 is 43777424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 424777294 and 424777303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1500839 + ... + 1501121.

It is an arithmetic number, because the mean of its divisors is an integer number (10520496).

Almost surely, 2424777340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424777340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504983808).

424777340 is an abundant number, since it is smaller than the sum of its proper divisors (585190276).

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

424777340 is a wasteful number, since it uses less digits than its factorization.

424777340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 38.

The square root of 424777340 is about 20610.1271223639. The cubic root of 424777340 is about 751.7159760923.

The spelling of 424777340 in words is "four hundred twenty-four million, seven hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 251 260 283 299 460 502 566 598 1004 1132 1196 1255 1415 1495 2510 2830 2990 3263 3679 5020 5660 5773 5980 6509 6526 7358 11546 13018 13052 14716 16315 18395 23092 26036 28865 32545 32630 36790 57730 65090 65260 71033 73580 75049 84617 115460 130180 142066 150098 169234 284132 300196 338468 355165 375245 423085 710330 750490 846170 923429 1420660 1500980 1633759 1692340 1846858 3267518 3693716 4617145 6535036 8168795 9234290 16337590 18468580 21238867 32675180 42477734 84955468 106194335 212388670 424777340