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3254325440 = 265312511307
BaseRepresentation
bin1100000111111001…
…0001000011000000
322101210120212020212
43001332101003000
523131101403230
61254531253252
7143434211162
oct30176210300
98353525225
103254325440
11141aa88963
12769a4a228
133cb2ac972
1422c2ca932
15140a7e895
hexc1f910c0

3254325440 has 112 divisors (see below), whose sum is σ = 8037356544. Its totient is φ = 1253760000.

The previous prime is 3254325439. The next prime is 3254325457. The reversal of 3254325440 is 445234523.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3254325397 and 3254325406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2489267 + ... + 2490573.

It is an arithmetic number, because the mean of its divisors is an integer number (71762112).

Almost surely, 23254325440 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 3254325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018678272).

3254325440 is an abundant number, since it is smaller than the sum of its proper divisors (4783031104).

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

3254325440 is a wasteful number, since it uses less digits than its factorization.

3254325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 3254325440 is about 57046.6952592348. The cubic root of 3254325440 is about 1481.9048761736.

Adding to 3254325440 its reverse (445234523), we get a palindrome (3699559963).

The spelling of 3254325440 in words is "three billion, two hundred fifty-four million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 251 310 320 496 502 620 992 1004 1240 1255 1307 1984 2008 2480 2510 2614 4016 4960 5020 5228 6535 7781 8032 9920 10040 10456 13070 15562 16064 20080 20912 26140 31124 38905 40160 40517 41824 52280 62248 77810 80320 81034 83648 104560 124496 155620 162068 202585 209120 248992 311240 324136 328057 405170 418240 497984 622480 648272 656114 810340 1244960 1296544 1312228 1620680 1640285 2489920 2593088 2624456 3241360 3280570 5248912 6482720 6561140 10169767 10497824 12965440 13122280 20339534 20995648 26244560 40679068 50848835 52489120 81358136 101697670 104978240 162716272 203395340 325432544 406790680 650865088 813581360 1627162720 3254325440