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318705642 = 23237539029
BaseRepresentation
bin10010111111110…
…000111111101010
3211012200220221200
4102333300333222
51123042040032
651342545030
710616644653
oct2277607752
9735626850
10318705642
111539a02a2
128a898176
135104a028
143048252a
151cea647c
hex12ff0fea

318705642 has 48 divisors (see below), whose sum is σ = 722652840. Its totient is φ = 101402496.

The previous prime is 318705623. The next prime is 318705643. The reversal of 318705642 is 246507813.

318705642 is a `hidden beast` number, since 3 + 1 + 8 + 7 + 0 + 5 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 286997481 + 31708161 = 16941^2 + 5631^2 .

It is a junction number, because it is equal to n+sod(n) for n = 318705597 and 318705606.

It is not an unprimeable number, because it can be changed into a prime (318705643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30784 + ... + 39812.

Almost surely, 2318705642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318705642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361326420).

318705642 is an abundant number, since it is smaller than the sum of its proper divisors (403947198).

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

318705642 is a wasteful number, since it uses less digits than its factorization.

318705642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 318705642 is about 17852.3287556554. The cubic root of 318705642 is about 683.0669153506.

The spelling of 318705642 in words is "three hundred eighteen million, seven hundred five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 318 333 477 666 954 1961 3922 5883 9029 11766 17649 18058 27087 35298 54174 81261 162522 334073 478537 668146 957074 1002219 1435611 2004438 2871222 3006657 4306833 6013314 8613666 17705869 35411738 53117607 106235214 159352821 318705642