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1143342432 = 25339071459
BaseRepresentation
bin100010000100110…
…0000010101100000
32221200101210222000
41010021200111200
54320143424212
6305241444000
740222151601
oct10411402540
92850353860
101143342432
11537429101
1227aaa0600
13152b479ab
14abbc1da8
156a5981dc
hex44260560

1143342432 has 96 divisors (see below), whose sum is σ = 3340713600. Its totient is φ = 380433024.

The previous prime is 1143342419. The next prime is 1143342449. The reversal of 1143342432 is 2342433411.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 = 1143342396 and 1143342405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782919 + ... + 784377.

It is an arithmetic number, because the mean of its divisors is an integer number (34799100).

Almost surely, 21143342432 is an apocalyptic number.

1143342432 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 1143342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670356800).

1143342432 is an abundant number, since it is smaller than the sum of its proper divisors (2197371168).

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

1143342432 is a wasteful number, since it uses less digits than its factorization.

1143342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2371 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1143342432 is about 33813.3469505756. The cubic root of 1143342432 is about 1045.6638813191.

Adding to 1143342432 its reverse (2342433411), we get a palindrome (3485775843).

The spelling of 1143342432 in words is "one billion, one hundred forty-three million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 907 1459 1814 2721 2918 3628 4377 5442 5836 7256 8163 8754 10884 11672 13131 14512 16326 17508 21768 23344 24489 26262 29024 32652 35016 39393 43536 46688 48978 52524 65304 70032 78786 87072 97956 105048 130608 140064 157572 195912 210096 261216 315144 391824 420192 630288 783648 1260576 1323313 2646626 3969939 5293252 7939878 10586504 11909817 15879756 21173008 23819634 31759512 35729451 42346016 47639268 63519024 71458902 95278536 127038048 142917804 190557072 285835608 381114144 571671216 1143342432