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424370440 = 235134318979
BaseRepresentation
bin11001010010110…
…110000100001000
31002120112020210201
4121102312010020
51332114323230
6110035421544
713342042414
oct3122660410
91076466721
10424370440
111a860087a
12ba1548b4
1369bc5090
1440509d44
15273c95ca
hex194b6108

424370440 has 64 divisors (see below), whose sum is σ = 1052251200. Its totient is φ = 153038592.

The previous prime is 424370437. The next prime is 424370467. The reversal of 424370440 is 44073424.

It is a junction number, because it is equal to n+sod(n) for n = 424370399 and 424370408.

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 15 ways as a sum of consecutive naturals, for example, 12871 + ... + 31849.

It is an arithmetic number, because the mean of its divisors is an integer number (16441425).

Almost surely, 2424370440 is an apocalyptic number.

424370440 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 424370440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526125600).

424370440 is an abundant number, since it is smaller than the sum of its proper divisors (627880760).

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

424370440 is a wasteful number, since it uses less digits than its factorization.

424370440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19046 (or 19042 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 424370440 is about 20600.2533964998. The cubic root of 424370440 is about 751.4758730857.

The spelling of 424370440 in words is "four hundred twenty-four million, three hundred seventy thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 2236 2795 4472 5590 11180 18979 22360 37958 75916 94895 151832 189790 246727 379580 493454 759160 816097 986908 1233635 1632194 1973816 2467270 3264388 4080485 4934540 6528776 8160970 9869080 10609261 16321940 21218522 32643880 42437044 53046305 84874088 106092610 212185220 424370440