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3253450040 = 235417127941
BaseRepresentation
bin1100000111101011…
…1011010100111000
322101201221101102122
43001322323110320
523130340400130
61254500420412
7143423604041
oct30172732470
98351841378
103253450040
11141a540195
127696a7708
133cb064389
1422c13d8c8
1514095a2e5
hexc1ebb538

3253450040 has 64 divisors (see below), whose sum is σ = 7604694720. Its totient is φ = 1251712000.

The previous prime is 3253450037. The next prime is 3253450043. The reversal of 3253450040 is 400543523.

It is an interprime number because it is at equal distance from previous prime (3253450037) and next prime (3253450043).

It is a junction number, because it is equal to n+sod(n) for n = 3253449991 and 3253450009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253450043) by changing a digit.

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, 102470 + ... + 130410.

It is an arithmetic number, because the mean of its divisors is an integer number (118823355).

Almost surely, 23253450040 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 3253450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802347360).

3253450040 is an abundant number, since it is smaller than the sum of its proper divisors (4351244680).

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

3253450040 is a wasteful number, since it uses less digits than its factorization.

3253450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28064 (or 28060 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 3253450040 is about 57039.0220813786. The cubic root of 3253450040 is about 1481.7719888426.

Adding to 3253450040 its reverse (400543523), we get a palindrome (3653993563).

The spelling of 3253450040 in words is "three billion, two hundred fifty-three million, four hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 71 82 142 164 205 284 328 355 410 568 710 820 1420 1640 2840 2911 5822 11644 14555 23288 27941 29110 55882 58220 111764 116440 139705 223528 279410 558820 1117640 1145581 1983811 2291162 3967622 4582324 5727905 7935244 9164648 9919055 11455810 15870488 19838110 22911620 39676220 45823240 79352440 81336251 162672502 325345004 406681255 650690008 813362510 1626725020 3253450040