Search a number
-
+
3200042320 = 245193975303
BaseRepresentation
bin1011111010111100…
…1100010101010000
322021000102222210221
42332233030111100
523023202323240
61245312002424
7142204624306
oct27657142520
98230388727
103200042320
1113a2382182
12753830414
133bcc84b87
14224dda276
1513ae0aa4a
hexbebcc550

3200042320 has 80 divisors (see below), whose sum is σ = 7852890240. Its totient is φ = 1209364992.

The previous prime is 3200042317. The next prime is 3200042359. The reversal of 3200042320 is 232400023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3200042294 and 3200042303.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 600789 + ... + 606091.

It is an arithmetic number, because the mean of its divisors is an integer number (98161128).

Almost surely, 23200042320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926445120).

3200042320 is an abundant number, since it is smaller than the sum of its proper divisors (4652847920).

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

3200042320 is a wasteful number, since it uses less digits than its factorization.

3200042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3200042320 is about 56568.9165531743. The cubic root of 3200042320 is about 1473.6190956031.

Adding to 3200042320 its reverse (232400023), we get a palindrome (3432442343).

It can be divided in two parts, 32000 and 42320, that multiplied together give a square (1354240000 = 368002).

The spelling of 3200042320 in words is "three billion, two hundred million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 397 760 794 1520 1588 1985 3176 3970 5303 6352 7543 7940 10606 15086 15880 21212 26515 30172 31760 37715 42424 53030 60344 75430 84848 100757 106060 120688 150860 201514 212120 301720 403028 424240 503785 603440 806056 1007570 1612112 2015140 2105291 4030280 4210582 8060560 8421164 10526455 16842328 21052910 33684656 40000529 42105820 80001058 84211640 160002116 168423280 200002645 320004232 400005290 640008464 800010580 1600021160 3200042320