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3244302144 = 263253106273
BaseRepresentation
bin1100000101100000…
…0001111101000000
322101002201121212200
43001120001331000
523121020132034
61253532353200
7143253053556
oct30130017500
98332647780
103244302144
111415362246
12766615800
133c91b0615
1422ac3bbd6
1513ec4ea99
hexc1601f40

3244302144 has 84 divisors (see below), whose sum is σ = 9474752196. Its totient is φ = 1061019648.

The previous prime is 3244302121. The next prime is 3244302211. The reversal of 3244302144 is 4412034423.

It is a happy number.

3244302144 is a `hidden beast` number, since 3 + 2 + 443 + 0 + 214 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 795240000 + 2449062144 = 28200^2 + 49488^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22609 + ... + 83664.

It is an arithmetic number, because the mean of its divisors is an integer number (112794669).

Almost surely, 23244302144 is an apocalyptic number.

It is an amenable number.

3244302144 is an abundant number, since it is smaller than the sum of its proper divisors (6230450052).

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

3244302144 is a wasteful number, since it uses less digits than its factorization.

3244302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106344 (or 106331 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3244302144 is about 56958.7758295418. The cubic root of 3244302144 is about 1480.3818931708.

Adding to 3244302144 its reverse (4412034423), we get a palindrome (7656336567).

The spelling of 3244302144 in words is "three billion, two hundred forty-four million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 106273 212546 318819 425092 637638 850184 956457 1275276 1700368 1912914 2550552 3400736 3825828 5101104 5632469 6801472 7651656 10202208 11264938 15303312 16897407 20404416 22529876 30606624 33794814 45059752 50692221 61213248 67589628 90119504 101384442 135179256 180239008 202768884 270358512 360478016 405537768 540717024 811075536 1081434048 1622151072 3244302144