Search a number
-
+
3212324040 = 2335471075323
BaseRepresentation
bin1011111101111000…
…0010110011001000
322021212112222011110
42333132002303020
523034323332130
61250431130320
7142414206132
oct27736026310
98255488143
103212324040
1113a9300662
127579739a0
133c2695173
142268b6052
1513c034ab0
hexbf782cc8

3212324040 has 128 divisors (see below), whose sum is σ = 9935861760. Its totient is φ = 830402304.

The previous prime is 3212324033. The next prime is 3212324099. The reversal of 3212324040 is 404232123.

It is a junction number, because it is equal to n+sod(n) for n = 3212323998 and 3212324016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600819 + ... + 606141.

It is an arithmetic number, because the mean of its divisors is an integer number (77623920).

Almost surely, 23212324040 is an apocalyptic number.

3212324040 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 3212324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967930880).

3212324040 is an abundant number, since it is smaller than the sum of its proper divisors (6723537720).

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

3212324040 is a wasteful number, since it uses less digits than its factorization.

3212324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3212324040 is about 56677.3679699402. The cubic root of 3212324040 is about 1475.5019324035.

Adding to 3212324040 its reverse (404232123), we get a palindrome (3616556163).

The spelling of 3212324040 in words is "three billion, two hundred twelve million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 107 120 141 188 214 235 282 321 376 428 470 535 564 642 705 856 940 1070 1128 1284 1410 1605 1880 2140 2568 2820 3210 4280 5029 5323 5640 6420 10058 10646 12840 15087 15969 20116 21292 25145 26615 30174 31938 40232 42584 50290 53230 60348 63876 75435 79845 100580 106460 120696 127752 150870 159690 201160 212920 250181 301740 319380 500362 569561 603480 638760 750543 1000724 1139122 1250905 1501086 1708683 2001448 2278244 2501810 2847805 3002172 3417366 3752715 4556488 5003620 5695610 6004344 6834732 7505430 8543415 10007240 11391220 13669464 15010860 17086830 22782440 26769367 30021720 34173660 53538734 68347320 80308101 107077468 133846835 160616202 214154936 267693670 321232404 401540505 535387340 642464808 803081010 1070774680 1606162020 3212324040