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424302208 = 2711319721
BaseRepresentation
bin11001010010100…
…101011010000000
31002120101210012121
4121102211122000
51332110132313
6110034134024
713341336451
oct3122453200
91076353177
10424302208
111a8564590
12ba121314
1369b9ccc5
14404cd128
15273b428d
hex194a5680

424302208 has 64 divisors (see below), whose sum is σ = 951978240. Its totient is φ = 186624000.

The previous prime is 424302173. The next prime is 424302211. The reversal of 424302208 is 802203424.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38788 + ... + 48508.

It is an arithmetic number, because the mean of its divisors is an integer number (14874660).

Almost surely, 2424302208 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 424302208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475989120).

424302208 is an abundant number, since it is smaller than the sum of its proper divisors (527676032).

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

424302208 is a wasteful number, since it uses less digits than its factorization.

424302208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9777 (or 9765 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 424302208 is about 20598.5972337924. The cubic root of 424302208 is about 751.4355958144.

The spelling of 424302208 in words is "four hundred twenty-four million, three hundred two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 992 1364 1408 1984 2728 3968 5456 9721 10912 19442 21824 38884 43648 77768 106931 155536 213862 301351 311072 427724 602702 622144 855448 1205404 1244288 1710896 2410808 3314861 3421792 4821616 6629722 6843584 9643232 13259444 13687168 19286464 26518888 38572928 53037776 106075552 212151104 424302208