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3231045432 = 2332172315009
BaseRepresentation
bin1100000010010101…
…1101011100111000
322100011210010002100
43000211131130320
523104121423212
61252340303400
7143032301346
oct30045353470
98304703070
103231045432
11140892828a
127620a1b60
133c651b604
1422918a996
1513d9d1bdc
hexc095d738

3231045432 has 144 divisors (see below), whose sum is σ = 9597556800. Its totient is φ = 980766720.

The previous prime is 3231045427. The next prime is 3231045479. The reversal of 3231045432 is 2345401323.

It is a junction number, because it is equal to n+sod(n) for n = 3231045396 and 3231045405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 642544 + ... + 647552.

It is an arithmetic number, because the mean of its divisors is an integer number (66649700).

Almost surely, 23231045432 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 3231045432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798778400).

3231045432 is an abundant number, since it is smaller than the sum of its proper divisors (6366511368).

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

3231045432 is a wasteful number, since it uses less digits than its factorization.

3231045432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3231045432 is about 56842.2855979596. The cubic root of 3231045432 is about 1478.3627853503.

Adding to 3231045432 its reverse (2345401323), we get a palindrome (5576446755).

The spelling of 3231045432 in words is "three billion, two hundred thirty-one million, forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 289 306 372 408 527 558 578 612 744 867 1054 1116 1156 1224 1581 1734 2108 2232 2312 2601 3162 3468 4216 4743 5009 5202 6324 6936 8959 9486 10018 10404 12648 15027 17918 18972 20036 20808 26877 30054 35836 37944 40072 45081 53754 60108 71672 80631 85153 90162 107508 120216 155279 161262 170306 180324 215016 255459 310558 322524 340612 360648 465837 510918 621116 645048 681224 766377 931674 1021836 1242232 1397511 1447601 1532754 1863348 2043672 2639743 2795022 2895202 3065508 3726696 4342803 5279486 5590044 5790404 6131016 7919229 8685606 10558972 11180088 11580808 13028409 15838458 17371212 21117944 23757687 26056818 31676916 34742424 44875631 47515374 52113636 63353832 89751262 95030748 104227272 134626893 179502524 190061496 269253786 359005048 403880679 538507572 807761358 1077015144 1615522716 3231045432