Search a number
-
+
3145338 = 233753157
BaseRepresentation
bin1011111111111001111010
312220210121000
423333321322
51301122323
6151225430
735510040
oct13777172
95823530
103145338
111859159
121078276
13861861
145bc390
15421e43
hex2ffe7a

3145338 has 64 divisors (see below), whose sum is σ = 8190720. Its totient is φ = 876096.

The previous prime is 3145327. The next prime is 3145339. The reversal of 3145338 is 8335413.

It is a happy number.

It is a super-2 number, since 2×31453382 = 19786302268488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3145339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19956 + ... + 20112.

It is an arithmetic number, because the mean of its divisors is an integer number (127980).

Almost surely, 23145338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095360).

3145338 is an abundant number, since it is smaller than the sum of its proper divisors (5045382).

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

3145338 is a wasteful number, since it uses less digits than its factorization.

3145338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3145338 is about 1773.5100789113. The cubic root of 3145338 is about 146.5173675861.

It can be divided in two parts, 31 and 45338, that added together give a square (45369 = 2132).

The spelling of 3145338 in words is "three million, one hundred forty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 157 159 189 314 318 371 378 471 477 742 942 954 1099 1113 1413 1431 2198 2226 2826 2862 3297 3339 4239 6594 6678 8321 8478 9891 10017 16642 19782 20034 24963 29673 49926 58247 59346 74889 116494 149778 174741 224667 349482 449334 524223 1048446 1572669 3145338