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430928344 = 23721137273
BaseRepresentation
bin11001101011110…
…111000111011000
31010000212102120001
4121223313013120
51340304201334
6110432142344
713451554600
oct3153670730
91100772501
10430928344
1120127a930
121003979b4
136b37ccb2
1441335c00
1527c72714
hex19af71d8

430928344 has 144 divisors (see below), whose sum is σ = 1068250680. Its totient is φ = 161118720.

The previous prime is 430928297. The next prime is 430928347. The reversal of 430928344 is 443829034.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430928347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5903092 + ... + 5903164.

Almost surely, 2430928344 is an apocalyptic number.

430928344 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 430928344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534125340).

430928344 is an abundant number, since it is smaller than the sum of its proper divisors (637322336).

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

430928344 is a wasteful number, since it uses less digits than its factorization.

430928344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 430928344 is about 20758.8136462564. The cubic root of 430928344 is about 755.3270188401.

The spelling of 430928344 in words is "four hundred thirty million, nine hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 49 56 73 74 77 88 98 146 148 154 196 259 292 296 308 392 407 511 518 539 584 616 803 814 1022 1036 1078 1369 1606 1628 1813 2044 2072 2156 2701 2738 2849 3212 3256 3577 3626 4088 4312 5402 5476 5621 5698 6424 7154 7252 9583 10804 10952 11242 11396 14308 14504 15059 18907 19166 19943 21608 22484 22792 28616 29711 30118 37814 38332 39347 39886 44968 59422 60236 67081 75628 76664 78694 79772 99937 105413 118844 120472 132349 134162 151256 157388 159544 199874 207977 210826 237688 264698 268324 314776 399748 415954 421652 529396 536648 699559 737891 799496 831908 843304 1058792 1099307 1399118 1455839 1475782 1663816 2198614 2798236 2911678 2951564 4397228 4896913 5596472 5823356 5903128 7695149 8794456 9793826 11646712 15390298 19587652 30780596 39175304 53866043 61561192 107732086 215464172 430928344