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32443323444 = 223379724561
BaseRepresentation
bin11110001101110001…
…011101010000110100
310002202000211121001000
4132031301131100310
51012420442322234
622523153003300
72225655461550
oct361561352064
9102660747030
1032443323444
1112839457104
126355253530
1330a063c20c
1417dab44860
15c9d3ab899
hex78dc5d434

32443323444 has 144 divisors (see below), whose sum is σ = 97150892160. Its totient is φ = 9171947520.

The previous prime is 32443323391. The next prime is 32443323449. The reversal of 32443323444 is 44432334423.

32443323444 is a `hidden beast` number, since 324 + 4 + 3 + 323 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×324433234442 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32443323399 and 32443323408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32443323449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7110924 + ... + 7115484.

Almost surely, 232443323444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32443323444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48575446080).

32443323444 is an abundant number, since it is smaller than the sum of its proper divisors (64707568716).

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

32443323444 is a wasteful number, since it uses less digits than its factorization.

32443323444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4670 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

Adding to 32443323444 its reverse (44432334423), we get a palindrome (76875657867).

The spelling of 32443323444 in words is "thirty-two billion, four hundred forty-three million, three hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 97 108 126 189 194 252 291 378 388 582 679 756 873 1164 1358 1746 2037 2619 2716 3492 4074 4561 5238 6111 8148 9122 9409 10476 12222 13683 18244 18333 18818 24444 27366 28227 31927 36666 37636 41049 54732 56454 63854 65863 73332 82098 84681 95781 112908 123147 127708 131726 164196 169362 191562 197589 246294 254043 263452 287343 338724 383124 395178 442417 492588 508086 574686 592767 790356 862029 884834 1016172 1149372 1185534 1327251 1724058 1769668 1778301 2371068 2654502 3096919 3448116 3556602 3981753 5309004 6193838 7113204 7963506 9290757 11945259 12387676 15927012 18581514 23890518 27872271 37163028 42914449 47781036 55744542 83616813 85828898 111489084 128743347 167233626 171657796 257486694 300401143 334467252 386230041 514973388 600802286 772460082 901203429 1158690123 1201604572 1544920164 1802406858 2317380246 2703610287 3604813716 4634760492 5407220574 8110830861 10814441148 16221661722 32443323444