Search a number
-
+
3254328252 = 223471638803
BaseRepresentation
bin1100000111111001…
…0001101110111100
322101210121000010000
43001332101232330
523131102001002
61254531314300
7143434222320
oct30176215674
98353530100
103254328252
11141aa8aa8a
12769a4b990
133cb2b1026
1422c2cb980
15140a8061c
hexc1f91bbc

3254328252 has 120 divisors (see below), whose sum is σ = 9783568256. Its totient is φ = 923998752.

The previous prime is 3254328211. The next prime is 3254328257. The reversal of 3254328252 is 2528234523.

3254328252 is a `hidden beast` number, since 32 + 54 + 328 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3254328257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 365283 + ... + 374085.

Almost surely, 23254328252 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 3254328252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891784128).

3254328252 is an abundant number, since it is smaller than the sum of its proper divisors (6529240004).

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

3254328252 is a wasteful number, since it uses less digits than its factorization.

3254328252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8989 (or 8978 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 3254328252 is about 57046.7199057054. The cubic root of 3254328252 is about 1481.9053030019.

The spelling of 3254328252 in words is "three billion, two hundred fifty-four million, three hundred twenty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 163 189 252 324 326 378 489 567 652 756 978 1134 1141 1467 1956 2268 2282 2934 3423 4401 4564 5868 6846 8802 8803 10269 13203 13692 17604 17606 20538 26406 26409 30807 35212 41076 52812 52818 61614 61621 79227 92421 105636 123228 123242 158454 184842 184863 237681 246484 316908 369684 369726 475362 554589 713043 739452 950724 1109178 1426086 1434889 1663767 2218356 2852172 2869778 3327534 4304667 4991301 5739556 6655068 8609334 9982602 10044223 12914001 17218668 19965204 20088446 25828002 30132669 38742003 40176892 51656004 60265338 77484006 90398007 116226009 120530676 154968012 180796014 232452018 271194021 361592028 464904036 542388042 813582063 1084776084 1627164126 3254328252