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3212423340 = 2235722347507
BaseRepresentation
bin1011111101111001…
…1011000010101100
322021212202000101020
42333132123002230
523034340021330
61250433214140
7142415101500
oct27736330254
98255660336
103212423340
1113a9369225
12757a01350
133c26cb419
14226900300
1513c054210
hexbf79b0ac

3212423340 has 144 divisors (see below), whose sum is σ = 10918478592. Its totient is φ = 702328704.

The previous prime is 3212423323. The next prime is 3212423341. The reversal of 3212423340 is 433242123.

It is a self number, because there is not a number n which added to its sum of digits gives 3212423340.

It is not an unprimeable number, because it can be changed into a prime (3212423341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43867 + ... + 91373.

It is an arithmetic number, because the mean of its divisors is an integer number (75822768).

Almost surely, 23212423340 is an apocalyptic number.

3212423340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459239296).

3212423340 is an abundant number, since it is smaller than the sum of its proper divisors (7706055252).

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

3212423340 is a wasteful number, since it uses less digits than its factorization.

3212423340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47556 (or 47547 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3212423340 is about 56678.2439742094. The cubic root of 3212423340 is about 1475.5171359166.

Adding to 3212423340 its reverse (433242123), we get a palindrome (3645665463).

The spelling of 3212423340 in words is "three billion, two hundred twelve million, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 49 60 69 70 84 92 98 105 115 138 140 147 161 196 210 230 245 276 294 322 345 420 460 483 490 588 644 690 735 805 966 980 1127 1380 1470 1610 1932 2254 2415 2940 3220 3381 4508 4830 5635 6762 9660 11270 13524 16905 22540 33810 47507 67620 95014 142521 190028 237535 285042 332549 475070 570084 665098 712605 950140 997647 1092661 1330196 1425210 1662745 1995294 2185322 2327843 2850420 3277983 3325490 3990588 4370644 4655686 4988235 5463305 6555966 6650980 6983529 7648627 9311372 9976470 10926610 11639215 13111932 13967058 15297254 16389915 19952940 21853220 22945881 23278430 27934116 30594508 32779830 34917645 38243135 45891762 46556860 53540389 65559660 69835290 76486270 91783524 107080778 114729405 139670580 152972540 160621167 214161556 229458810 267701945 321242334 458917620 535403890 642484668 803105835 1070807780 1606211670 3212423340