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60345252 = 223211971571
BaseRepresentation
bin1110011000110…
…0101110100100
311012112212010100
43212030232210
5110422022002
65553224100
71331632452
oct346145644
9135485110
1060345252
1131077310
1218262030
13c66b166
14802b9d2
15547011c
hex398cba4

60345252 has 72 divisors (see below), whose sum is σ = 168229152. Its totient is φ = 18086400.

The previous prime is 60345247. The next prime is 60345269. The reversal of 60345252 is 25254306.

60345252 is a `hidden beast` number, since 603 + 4 + 5 + 2 + 52 = 666.

60345252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37627 + ... + 39197.

It is an arithmetic number, because the mean of its divisors is an integer number (2336516).

Almost surely, 260345252 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 60345252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84114576).

60345252 is an abundant number, since it is smaller than the sum of its proper divisors (107883900).

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

60345252 is a wasteful number, since it uses less digits than its factorization.

60345252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 60345252 is about 7768.2206456820. The cubic root of 60345252 is about 392.2362261443.

Adding to 60345252 its reverse (25254306), we get a palindrome (85599558).

The spelling of 60345252 in words is "sixty million, three hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1571 1746 2134 3142 3201 3492 4268 4713 6284 6402 9426 9603 12804 14139 17281 18852 19206 28278 34562 38412 51843 56556 69124 103686 152387 155529 207372 304774 311058 457161 609548 622116 914322 1371483 1676257 1828644 2742966 3352514 5028771 5485932 6705028 10057542 15086313 20115084 30172626 60345252