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3142314 = 234717163
BaseRepresentation
bin1011111111001010101010
312220122110000
423333022222
51301023224
6151203430
735465160
oct13771252
95818400
103142314
11185695a
121076576
13860376
145bb230
154210c9
hex2ff2aa

3142314 has 80 divisors (see below), whose sum is σ = 8572608. Its totient is φ = 839808.

The previous prime is 3142313. The next prime is 3142319. The reversal of 3142314 is 4132413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3142313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19197 + ... + 19359.

Almost surely, 23142314 is an apocalyptic number.

3142314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286304).

3142314 is an abundant number, since it is smaller than the sum of its proper divisors (5430294).

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

3142314 is a wasteful number, since it uses less digits than its factorization.

3142314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3142314 is about 1772.6573272914. The cubic root of 3142314 is about 146.4703974791.

Adding to 3142314 its reverse (4132413), we get a palindrome (7274727).

Subtracting 3142314 from its reverse (4132413), we obtain a palindrome (990099).

It can be divided in two parts, 314 and 2314, that added together give a triangular number (2628 = T72).

The spelling of 3142314 in words is "three million, one hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 163 189 238 306 326 357 378 459 489 567 714 918 978 1071 1134 1141 1377 1467 2142 2282 2754 2771 2934 3213 3423 4401 5542 6426 6846 8313 8802 9639 10269 13203 16626 19278 19397 20538 24939 26406 30807 38794 49878 58191 61614 74817 92421 116382 149634 174573 184842 224451 349146 448902 523719 1047438 1571157 3142314