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424673640 = 233251179649
BaseRepresentation
bin11001010100000…
…000000101101000
31002121002122201100
4121110000011220
51332204024030
6110050121400
713344444366
oct3124000550
91077078640
10424673640
111a8798656
12ba280260
1369ca00a1
1440588636
1527439360
hex19500168

424673640 has 48 divisors (see below), whose sum is σ = 1380190500. Its totient is φ = 113246208.

The previous prime is 424673621. The next prime is 424673713. The reversal of 424673640 is 46376424.

424673640 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 7 + 3 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 420824196 + 3849444 = 20514^2 + 1962^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424673595 and 424673604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589465 + ... + 590184.

Almost surely, 2424673640 is an apocalyptic number.

424673640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424673640 is an abundant number, since it is smaller than the sum of its proper divisors (955516860).

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

424673640 is a wasteful number, since it uses less digits than its factorization.

424673640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179666 (or 1179659 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 424673640 is about 20607.6112152767. The cubic root of 424673640 is about 751.6547994995.

The spelling of 424673640 in words is "four hundred twenty-four million, six hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1179649 2359298 3538947 4718596 5898245 7077894 9437192 10616841 11796490 14155788 17694735 21233682 23592980 28311576 35389470 42467364 47185960 53084205 70778940 84934728 106168410 141557880 212336820 424673640