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1324030032 = 243213294
BaseRepresentation
bin100111011101011…
…0001100001010000
310102021101200202100
41032322301201100
510202422430112
6335214320400
744545032603
oct11672614120
93367350670
101324030032
1161a4203a6
1230b4b9100
131813cc830
14c7bb833a
157b38a2dc
hex4eeb1850

1324030032 has 150 divisors (see below), whose sum is σ = 4132996322. Its totient is φ = 393345792.

The previous prime is 1324030031. The next prime is 1324030039. The reversal of 1324030032 is 2300304231.

It can be written as a sum of positive squares in 5 ways, for example, as 349091856 + 974938176 = 18684^2 + 31224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1324029987 and 1324030014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324030031) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 45656194 + ... + 45656222.

Almost surely, 21324030032 is an apocalyptic number.

1324030032 is a gapful number since it is divisible by the number (12) 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 1324030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066498161).

1324030032 is an abundant number, since it is smaller than the sum of its proper divisors (2808966290).

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

1324030032 is an frugal number, since it uses more digits than its factorization.

1324030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1324030032 is about 36387.2234719826. The cubic root of 1324030032 is about 1098.0765372111.

Adding to 1324030032 its reverse (2300304231), we get a palindrome (3624334263).

The spelling of 1324030032 in words is "one billion, three hundred twenty-four million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 841 936 1044 1131 1392 1508 1682 1872 2088 2262 2523 3016 3364 3393 4176 4524 5046 6032 6728 6786 7569 9048 10092 10933 13456 13572 15138 18096 20184 21866 24389 27144 30276 32799 40368 43732 48778 54288 60552 65598 73167 87464 97556 98397 121104 131196 146334 174928 195112 196794 219501 262392 292668 317057 390224 393588 439002 524784 585336 634114 707281 787176 878004 951171 1170672 1268228 1414562 1574352 1756008 1902342 2121843 2536456 2829124 2853513 3512016 3804684 4243686 5072912 5658248 5707026 6365529 7609368 8487372 9194653 11316496 11414052 12731058 15218736 16974744 18389306 22828104 25462116 27583959 33949488 36778612 45656208 50924232 55167918 73557224 82751877 101848464 110335836 147114448 165503754 220671672 331007508 441343344 662015016 1324030032