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3231543040 = 28511283811
BaseRepresentation
bin1100000010011101…
…0110111100000000
322100012201101200021
43000213112330000
523104233334130
61252355103224
7143036443165
oct30047267400
98305641607
103231543040
111409138130
127622a1b14
133c6663c5b
1422927a06c
1513da7e37a
hexc09d6f00

3231543040 has 144 divisors (see below), whose sum is σ = 8484529536. Its totient is φ = 1169510400.

The previous prime is 3231543031. The next prime is 3231543041. The reversal of 3231543040 is 403451323.

It is a junction number, because it is equal to n+sod(n) for n = 3231542996 and 3231543014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3231543041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3984235 + ... + 3985045.

It is an arithmetic number, because the mean of its divisors is an integer number (58920344).

Almost surely, 23231543040 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 3231543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242264768).

3231543040 is an abundant number, since it is smaller than the sum of its proper divisors (5252986496).

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

3231543040 is a wasteful number, since it uses less digits than its factorization.

3231543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3231543040 is about 56846.6625229661. The cubic root of 3231543040 is about 1478.4386748626.

Adding to 3231543040 its reverse (403451323), we get a palindrome (3634994363).

The spelling of 3231543040 in words is "three billion, two hundred thirty-one million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 283 320 352 440 566 640 704 811 880 1132 1280 1408 1415 1622 1760 2264 2816 2830 3113 3244 3520 4055 4528 5660 6226 6488 7040 8110 8921 9056 11320 12452 12976 14080 15565 16220 17842 18112 22640 24904 25952 31130 32440 35684 36224 44605 45280 49808 51904 62260 64880 71368 72448 89210 90560 99616 103808 124520 129760 142736 178420 181120 199232 207616 229513 249040 259520 285472 356840 362240 398464 459026 498080 519040 570944 713680 796928 918052 996160 1038080 1141888 1147565 1427360 1836104 1992320 2283776 2295130 2524643 2854720 3672208 3984640 4590260 5049286 5709440 7344416 9180520 10098572 11418880 12623215 14688832 18361040 20197144 25246430 29377664 36722080 40394288 50492860 58755328 73444160 80788576 100985720 146888320 161577152 201971440 293776640 323154304 403942880 646308608 807885760 1615771520 3231543040