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314102132 = 2217291491069
BaseRepresentation
bin10010101110001…
…101000101110100
3210220001001010022
4102232031011310
51120402232012
651100144312
710532552441
oct2256150564
9726031108
10314102132
11151336643
1289238098
13500c7866
142da049c8
151c897472
hex12b8d174

314102132 has 48 divisors (see below), whose sum is σ = 606690000. Its totient is φ = 141625344.

The previous prime is 314102101. The next prime is 314102171. The reversal of 314102132 is 231201413.

It can be written as a sum of positive squares in 8 ways, for example, as 1731856 + 312370276 = 1316^2 + 17674^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 314102132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293294 + ... + 294362.

It is an arithmetic number, because the mean of its divisors is an integer number (12639375).

Almost surely, 2314102132 is an apocalyptic number.

It is an amenable number.

314102132 is a deficient number, since it is larger than the sum of its proper divisors (292587868).

314102132 is a wasteful number, since it uses less digits than its factorization.

314102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 314102132 is about 17722.9267334715. The cubic root of 314102132 is about 679.7621226779.

Adding to 314102132 its reverse (231201413), we get a palindrome (545303545).

The spelling of 314102132 in words is "three hundred fourteen million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 17 29 34 58 68 116 149 298 493 596 986 1069 1972 2138 2533 4276 4321 5066 8642 10132 17284 18173 31001 36346 62002 72692 73457 124004 146914 159281 293828 318562 527017 637124 1054034 2108068 2707777 4619149 5415554 9238298 10831108 18476596 78525533 157051066 314102132