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57342312 = 233223311117
BaseRepresentation
bin1101101010111…
…1100101101000
310222220021212100
43122233211220
5104134423222
65405013400
71264254516
oct332574550
9128807770
1057342312
112a406145
1217254260
13bb59381
1478894b6
15507a4ac
hex36af968

57342312 has 96 divisors (see below), whose sum is σ = 167431680. Its totient is φ = 17677440.

The previous prime is 57342301. The next prime is 57342317. The reversal of 57342312 is 21324375.

57342312 is a `hidden beast` number, since 5 + 7 + 342 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57342317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50778 + ... + 51894.

It is an arithmetic number, because the mean of its divisors is an integer number (1744080).

Almost surely, 257342312 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 57342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83715840).

57342312 is an abundant number, since it is smaller than the sum of its proper divisors (110089368).

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

57342312 is a wasteful number, since it uses less digits than its factorization.

57342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 57342312 is about 7572.4706668299. The cubic root of 57342312 is about 385.6189784510.

Adding to 57342312 its reverse (21324375), we get a palindrome (78666687).

The spelling of 57342312 in words is "fifty-seven million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 552 558 713 744 828 1116 1117 1426 1656 2139 2232 2234 2852 3351 4278 4468 5704 6417 6702 8556 8936 10053 12834 13404 17112 20106 25668 25691 26808 34627 40212 51336 51382 69254 77073 80424 102764 103881 138508 154146 205528 207762 231219 277016 308292 311643 415524 462438 616584 623286 796421 831048 924876 1246572 1592842 1849752 2389263 2493144 3185684 4778526 6371368 7167789 9557052 14335578 19114104 28671156 57342312