Search a number
-
+
3252854016 = 28321411829
BaseRepresentation
bin1100000111100010…
…1001110100000000
322101200211002211200
43001320221310000
523130212312031
61254435541200
7143415542256
oct30170516400
98350732750
103252854016
11141a173405
1276945a800
133cabb5cb9
1422c0265d6
1514088d8e6
hexc1e29d00

3252854016 has 54 divisors (see below), whose sum is σ = 9378786690. Its totient is φ = 1084283904.

The previous prime is 3252854009. The next prime is 3252854027. The reversal of 3252854016 is 6104582523.

3252854016 is a `hidden beast` number, since 325 + 285 + 40 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2737382400 + 515471616 = 52320^2 + 22704^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 703611 + ... + 708218.

It is an arithmetic number, because the mean of its divisors is an integer number (173681235).

Almost surely, 23252854016 is an apocalyptic number.

3252854016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3252854016 is an abundant number, since it is smaller than the sum of its proper divisors (6125932674).

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

3252854016 is a wasteful number, since it uses less digits than its factorization.

3252854016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411851 (or 1411834 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3252854016 is about 57033.7971381882. The cubic root of 3252854016 is about 1481.6814976621.

The spelling of 3252854016 in words is "three billion, two hundred fifty-two million, eight hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1411829 2823658 4235487 5647316 8470974 11294632 12706461 16941948 22589264 25412922 33883896 45178528 50825844 67767792 90357056 101651688 135535584 180714112 203303376 271071168 361428224 406606752 542142336 813213504 1084284672 1626427008 3252854016