Search a number
-
+
3412545536 = 2122928729
BaseRepresentation
bin1100101101100111…
…0101000000000000
322210211022021102102
43023121311000000
523442102424121
61322342405532
7150365105231
oct31331650000
98724267372
103412545536
1114a1324a74
127b2a308a8
13424cc921a
14245315088
1514e8d490b
hexcb675000

3412545536 has 52 divisors (see below), whose sum is σ = 7059822900. Its totient is φ = 1647378432.

The previous prime is 3412545533. The next prime is 3412545547. The reversal of 3412545536 is 6355452143.

It can be written as a sum of positive squares in 2 ways, for example, as 1524121600 + 1888423936 = 39040^2 + 43456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3412545536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412545533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104420 + ... + 133148.

It is an arithmetic number, because the mean of its divisors is an integer number (135765825).

Almost surely, 23412545536 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 3412545536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529911450).

3412545536 is an abundant number, since it is smaller than the sum of its proper divisors (3647277364).

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

3412545536 is an equidigital number, since it uses as much as digits as its factorization.

3412545536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28782 (or 28760 counting only the distinct ones).

The product of its digits is 216000, while the sum is 38.

The square root of 3412545536 is about 58416.9969786192. The cubic root of 3412545536 is about 1505.5418020353.

Adding to 3412545536 its reverse (6355452143), we get a palindrome (9767997679).

The spelling of 3412545536 in words is "three billion, four hundred twelve million, five hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3712 4096 7424 14848 28729 29696 57458 59392 114916 118784 229832 459664 833141 919328 1666282 1838656 3332564 3677312 6665128 7354624 13330256 14709248 26660512 29418496 53321024 58836992 106642048 117673984 213284096 426568192 853136384 1706272768 3412545536