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3212432340 = 2235139474349
BaseRepresentation
bin1011111101111001…
…1101001111010100
322021212202110201120
42333132131033110
523034340313330
61250433323540
7142415136645
oct27736351724
98255673646
103212432340
1113a9374a67
12757a065b0
133c2702550
142269036cc
1513c056c10
hexbf79d3d4

3212432340 has 96 divisors (see below), whose sum is σ = 9699177600. Its totient is φ = 789735936.

The previous prime is 3212432339. The next prime is 3212432359. The reversal of 3212432340 is 432342123.

It is a self number, because there is not a number n which added to its sum of digits gives 3212432340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736486 + ... + 740834.

It is an arithmetic number, because the mean of its divisors is an integer number (101033100).

Almost surely, 23212432340 is an apocalyptic number.

3212432340 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 3212432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849588800).

3212432340 is an abundant number, since it is smaller than the sum of its proper divisors (6486745260).

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

3212432340 is a wasteful number, since it uses less digits than its factorization.

3212432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5319 counting only the distinct ones).

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

The square root of 3212432340 is about 56678.3233696975. The cubic root of 3212432340 is about 1475.5185138631.

Adding to 3212432340 its reverse (432342123), we get a palindrome (3644774463).

The spelling of 3212432340 in words is "three billion, two hundred twelve million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 947 1894 2841 3788 4349 4735 5682 8698 9470 11364 12311 13047 14205 17396 18940 21745 24622 26094 28410 36933 43490 49244 52188 56537 56820 61555 65235 73866 86980 113074 123110 130470 147732 169611 184665 226148 246220 260940 282685 339222 369330 565370 678444 738660 848055 1130740 1696110 3392220 4118503 8237006 12355509 16474012 20592515 24711018 41185030 49422036 53540539 61777545 82370060 107081078 123555090 160621617 214162156 247110180 267702695 321243234 535405390 642486468 803108085 1070810780 1606216170 3212432340