Search a number
-
+
3224235344 = 241147409953
BaseRepresentation
bin1100000000101101…
…1110110101010000
322022200222010101212
43000023132311100
523100401012334
61251534315252
7142620356021
oct30013366520
98280863355
103224235344
111404aa6810
1275b958b28
133c4ca5985
142282d6c48
1513d0d8ece
hexc02ded50

3224235344 has 80 divisors (see below), whose sum is σ = 6984195840. Its totient is φ = 1429370880.

The previous prime is 3224235323. The next prime is 3224235349. The reversal of 3224235344 is 4435324223.

It is a self number, because there is not a number n which added to its sum of digits gives 3224235344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224235349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3382772 + ... + 3383724.

It is an arithmetic number, because the mean of its divisors is an integer number (87302448).

Almost surely, 23224235344 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 3224235344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492097920).

3224235344 is an abundant number, since it is smaller than the sum of its proper divisors (3759960496).

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

3224235344 is a wasteful number, since it uses less digits than its factorization.

3224235344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1422 counting only the distinct ones).

The product of its digits is 69120, while the sum is 32.

The square root of 3224235344 is about 56782.3506382045. The cubic root of 3224235344 is about 1477.3234042922.

Adding to 3224235344 its reverse (4435324223), we get a palindrome (7659559567).

The spelling of 3224235344 in words is "three billion, two hundred twenty-four million, two hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 409 517 752 818 953 1034 1636 1906 2068 3272 3812 4136 4499 6544 7624 8272 8998 10483 15248 17996 19223 20966 35992 38446 41932 44791 71984 76892 83864 89582 153784 167728 179164 211453 307568 358328 389777 422906 492701 716656 779554 845812 985402 1559108 1691624 1970804 3118216 3383248 3941608 4287547 6236432 7883216 8575094 17150188 18319519 34300376 36639038 68600752 73278076 146556152 201514709 293112304 403029418 806058836 1612117672 3224235344