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3243345140 = 2257109257827
BaseRepresentation
bin1100000101010001…
…1000010011110100
322101000221000010002
43001110120103310
523120244021030
61253500050432
7143241656510
oct30124302364
98330830102
103243345140
111414869232
12766233a18
133c8c36b49
1422aa6d140
1513eb11245
hexc15184f4

3243345140 has 96 divisors (see below), whose sum is σ = 7895543040. Its totient is φ = 1096187904.

The previous prime is 3243345137. The next prime is 3243345143. The reversal of 3243345140 is 415433423.

It is an interprime number because it is at equal distance from previous prime (3243345137) and next prime (3243345143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243345143) 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 31 ways as a sum of consecutive naturals, for example, 3921407 + ... + 3922233.

It is an arithmetic number, because the mean of its divisors is an integer number (82245240).

Almost surely, 23243345140 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 3243345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947771520).

3243345140 is an abundant number, since it is smaller than the sum of its proper divisors (4652197900).

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

3243345140 is a wasteful number, since it uses less digits than its factorization.

3243345140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 3243345140 is about 56950.3743622463. The cubic root of 3243345140 is about 1480.2363178765.

Adding to 3243345140 its reverse (415433423), we get a palindrome (3658778563).

The spelling of 3243345140 in words is "three billion, two hundred forty-three million, three hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 257 436 514 545 763 827 1028 1090 1285 1526 1654 1799 2180 2570 3052 3308 3598 3815 4135 5140 5789 7196 7630 8270 8995 11578 15260 16540 17990 23156 28013 28945 35980 56026 57890 90143 112052 115780 140065 180286 196091 212539 280130 360572 392182 425078 450715 560260 631001 784364 850156 901430 980455 1062695 1262002 1487773 1802860 1960910 2125390 2524004 2975546 3155005 3921820 4250780 5951092 6310010 7438865 12620020 14877730 23166751 29755460 46333502 92667004 115833755 162167257 231667510 324334514 463335020 648669028 810836285 1621672570 3243345140