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3245000352 = 253116594663
BaseRepresentation
bin1100000101101010…
…1100011010100000
322101011001002122020
43001122230122200
523121210002402
61253555341440
7143262022266
oct30132543240
98334032566
103245000352
111415799880
127668b1880
133c9396369
1422ad80436
1513ed3b8bc
hexc16ac6a0

3245000352 has 96 divisors (see below), whose sum is σ = 9308597760. Its totient is φ = 981630720.

The previous prime is 3245000279. The next prime is 3245000359. The reversal of 3245000352 is 2530005423.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3245000359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693573 + ... + 698235.

It is an arithmetic number, because the mean of its divisors is an integer number (96964560).

Almost surely, 23245000352 is an apocalyptic number.

3245000352 is a gapful number since it is divisible by the number (32) 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 3245000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654298880).

3245000352 is an abundant number, since it is smaller than the sum of its proper divisors (6063597408).

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

3245000352 is a wasteful number, since it uses less digits than its factorization.

3245000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3245000352 is about 56964.9045641261. The cubic root of 3245000352 is about 1480.4880834798.

Adding to 3245000352 its reverse (2530005423), we get a palindrome (5775005775).

The spelling of 3245000352 in words is "three billion, two hundred forty-five million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 659 1056 1318 1977 2636 3954 4663 5272 7249 7908 9326 10544 13989 14498 15816 18652 21088 21747 27978 28996 31632 37304 43494 51293 55956 57992 63264 74608 86988 102586 111912 115984 149216 153879 173976 205172 223824 231968 307758 347952 410344 447648 615516 695904 820688 1231032 1641376 2462064 3072917 4924128 6145834 9218751 12291668 18437502 24583336 33802087 36875004 49166672 67604174 73750008 98333344 101406261 135208348 147500016 202812522 270416696 295000032 405625044 540833392 811250088 1081666784 1622500176 3245000352