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3243424340 = 2251324012393
BaseRepresentation
bin1100000101010010…
…1011101001010100
322101001002000202102
43001110223221110
523120304034330
61253501501232
7143242436432
oct30124535124
98331060672
103243424340
111414912792
12766271818
133c8c63c00
1422aa8dd52
1513eb29945
hexc152ba54

3243424340 has 72 divisors (see below), whose sum is σ = 7396914168. Its totient is φ = 1194086400.

The previous prime is 3243424313. The next prime is 3243424357. The reversal of 3243424340 is 434243423.

It can be written as a sum of positive squares in 12 ways, for example, as 1772241604 + 1471182736 = 42098^2 + 38356^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354184 + ... + 1356576.

It is an arithmetic number, because the mean of its divisors is an integer number (102734919).

Almost surely, 23243424340 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 3243424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698457084).

3243424340 is an abundant number, since it is smaller than the sum of its proper divisors (4153489828).

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

3243424340 is a wasteful number, since it uses less digits than its factorization.

3243424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

The square root of 3243424340 is about 56951.0697002260. The cubic root of 3243424340 is about 1480.2483665235.

Adding to 3243424340 its reverse (434243423), we get a palindrome (3677667763).

The spelling of 3243424340 in words is "three billion, two hundred forty-three million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 401 676 802 845 1604 1690 2005 2393 3380 4010 4786 5213 8020 9572 10426 11965 20852 23930 26065 31109 47860 52130 62218 67769 104260 124436 135538 155545 271076 311090 338845 404417 622180 677690 808834 959593 1355380 1617668 1919186 2022085 3838372 4044170 4797965 8088340 9595930 12474709 19191860 24949418 49898836 62373545 124747090 162171217 249494180 324342434 648684868 810856085 1621712170 3243424340