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3224034342 = 232192961732
BaseRepresentation
bin1100000000101010…
…1101110000100110
322022200120220200100
43000022231300212
523100323044332
61251530124530
7142615561014
oct30012556046
98280526610
103224034342
1114049797a1
1275b880746
133c4c35339
142282838b4
1513d09967c
hexc02adc26

3224034342 has 144 divisors (see below), whose sum is σ = 7838672400. Its totient is φ = 953648640.

The previous prime is 3224034329. The next prime is 3224034347. The reversal of 3224034342 is 2434304223.

3224034342 is a `hidden beast` number, since 3 + 224 + 0 + 3 + 434 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224034347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44164818 + ... + 44164890.

It is an arithmetic number, because the mean of its divisors is an integer number (54435225).

Almost surely, 23224034342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224034342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919336200).

3224034342 is an abundant number, since it is smaller than the sum of its proper divisors (4614638058).

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

3224034342 is a wasteful number, since it uses less digits than its factorization.

3224034342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3224034342 is about 56780.5806768476. The cubic root of 3224034342 is about 1477.2927043899.

Adding to 3224034342 its reverse (2434304223), we get a palindrome (5658338565).

The spelling of 3224034342 in words is "three billion, two hundred twenty-four million, thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 61 73 87 114 122 146 171 174 183 219 261 342 366 438 522 549 551 657 1098 1102 1159 1314 1387 1653 1769 2117 2318 2774 3306 3477 3538 4161 4234 4453 4959 5307 5329 6351 6954 8322 8906 9918 10431 10614 10658 12483 12702 13359 15921 15987 19053 20862 24966 26718 31842 31974 33611 38106 40077 40223 47961 67222 80154 80446 84607 95922 100833 101251 120669 129137 154541 169214 201666 202502 241338 253821 258274 302499 303753 309082 325069 362007 387411 463623 507642 604998 607506 650138 724014 761463 774822 911259 927246 975207 1162233 1390869 1522926 1822518 1950414 2324466 2453603 2781738 2925621 2936279 4907206 5851242 5872558 6176311 7360809 8808837 9427001 12352622 14721618 17617674 18528933 18854002 22082427 26426511 28281003 37057866 44164854 52853022 55586799 56562006 84843009 111173598 169686018 179113019 358226038 537339057 1074678114 1612017171 3224034342