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3443043132 = 22331311631493
BaseRepresentation
bin1100110100111000…
…1010101100111100
322212221200201021000
43031032022230330
524022404340012
61325352210300
7151215245424
oct31516125474
98787621230
103443043132
1115075652a1
12801099990
1342b416839
142493b3484
1515240addc
hexcd38ab3c

3443043132 has 96 divisors (see below), whose sum is σ = 9055791360. Its totient is φ = 1131174720.

The previous prime is 3443043119. The next prime is 3443043137. The reversal of 3443043132 is 2313403443.

3443043132 is a `hidden beast` number, since 3 + 44 + 304 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3443043096 and 3443043105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3443043137) 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 31 ways as a sum of consecutive naturals, for example, 2305378 + ... + 2306870.

It is an arithmetic number, because the mean of its divisors is an integer number (94331160).

Almost surely, 23443043132 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 3443043132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527895680).

3443043132 is an abundant number, since it is smaller than the sum of its proper divisors (5612748228).

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

3443043132 is a wasteful number, since it uses less digits than its factorization.

3443043132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3443043132 is about 58677.4499445912. The cubic root of 3443043132 is about 1510.0134688798.

Adding to 3443043132 its reverse (2313403443), we get a palindrome (5756446575).

The spelling of 3443043132 in words is "three billion, four hundred forty-three million, forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 163 262 326 393 489 524 652 786 978 1179 1467 1493 1572 1956 2358 2934 2986 3537 4401 4479 4716 5868 5972 7074 8802 8958 13437 14148 17604 17916 21353 26874 40311 42706 53748 64059 80622 85412 128118 161244 192177 195583 243359 256236 384354 391166 486718 576531 586749 730077 768708 782332 973436 1153062 1173498 1460154 1760247 2190231 2306124 2346996 2920308 3520494 4380462 5280741 6570693 7040988 8760924 10561482 13141386 21122964 26282772 31880029 63760058 95640087 127520116 191280174 286920261 382560348 573840522 860760783 1147681044 1721521566 3443043132