Search a number
-
+
32344031000 = 2353371316673
BaseRepresentation
bin11110000111110110…
…101011111100011000
310002111010000000102002
4132013312223330120
51012220032443000
622505244500132
72223341504321
oct360766537430
9102433000362
1032344031000
11127983a9236
126327b4a648
133085bb57a8
1417cb899448
15c947e68d5
hex787dabf18

32344031000 has 128 divisors (see below), whose sum is σ = 78335674560. Its totient is φ = 12489984000.

The previous prime is 32344030933. The next prime is 32344031021. The reversal of 32344031000 is 13044323.

It is a super-2 number, since 2×323440310002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4843664 + ... + 4850336.

Almost surely, 232344031000 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 32344031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39167837280).

32344031000 is an abundant number, since it is smaller than the sum of its proper divisors (45991643560).

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

32344031000 is a wasteful number, since it uses less digits than its factorization.

32344031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 32344031000 its reverse (13044323), we get a palindrome (32357075323).

The spelling of 32344031000 in words is "thirty-two billion, three hundred forty-four million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 131 148 185 200 250 262 296 370 500 524 655 740 925 1000 1048 1310 1480 1850 2620 3275 3700 4625 4847 5240 6550 6673 7400 9250 9694 13100 13346 16375 18500 19388 24235 26200 26692 32750 33365 37000 38776 48470 53384 65500 66730 96940 121175 131000 133460 166825 193880 242350 246901 266920 333650 484700 493802 605875 667300 834125 874163 969400 987604 1211750 1234505 1334600 1668250 1748326 1975208 2423500 2469010 3336500 3496652 4370815 4847000 4938020 6172525 6673000 6993304 8741630 9876040 12345050 17483260 21854075 24690100 30862625 32344031 34966520 43708150 49380200 61725250 64688062 87416300 109270375 123450500 129376124 161720155 174832600 218540750 246901000 258752248 323440310 437081500 646880620 808600775 874163000 1293761240 1617201550 3234403100 4043003875 6468806200 8086007750 16172015500 32344031000