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424185344 = 2911241167
BaseRepresentation
bin11001010010001…
…000111000000000
31002120011211220022
4121102020320000
51332042412334
6110031433012
713340341652
oct3122107000
91076154808
10424185344
111a8494800
12ba085768
1369b5ba5b
144049c6d2
152738e82e
hex19488e00

424185344 has 120 divisors (see below), whose sum is σ = 960032304. Its totient is φ = 186982400.

The previous prime is 424185337. The next prime is 424185371. The reversal of 424185344 is 443581424.

It is a happy number.

It is a congruent number.

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, 2539949 + ... + 2540115.

Almost surely, 2424185344 is an apocalyptic number.

424185344 is a gapful number since it is divisible by the number (44) 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 424185344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480016152).

424185344 is an abundant number, since it is smaller than the sum of its proper divisors (535846960).

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

424185344 is a wasteful number, since it uses less digits than its factorization.

424185344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its digits is 61440, while the sum is 35.

The square root of 424185344 is about 20595.7603404196. The cubic root of 424185344 is about 751.3666010969.

The spelling of 424185344 in words is "four hundred twenty-four million, one hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 121 128 164 167 176 242 256 328 334 352 451 484 512 656 668 704 902 968 1312 1336 1408 1804 1837 1936 2624 2672 2816 3608 3674 3872 4961 5248 5344 5632 6847 7216 7348 7744 9922 10496 10688 13694 14432 14696 15488 19844 20207 20992 21376 27388 28864 29392 30976 39688 40414 42752 54776 57728 58784 61952 75317 79376 80828 85504 109552 115456 117568 150634 158752 161656 219104 230912 235136 301268 317504 323312 438208 470272 602536 635008 646624 828487 876416 940544 1205072 1270016 1293248 1656974 1752832 2410144 2540032 2586496 3313948 3505664 4820288 5172992 6627896 9640576 10345984 13255792 19281152 26511584 38562304 53023168 106046336 212092672 424185344