Search a number
-
+
3139344 = 243313243
BaseRepresentation
bin1011111110011100010000
312220111101000
423332130100
51300424334
6151142000
735453415
oct13763420
95814330
103139344
1118546aa
121074900
1385bc00
145ba10c
15420299
hex2fe710

3139344 has 120 divisors (see below), whose sum is σ = 9984480. Its totient is φ = 943488.

The previous prime is 3139333. The next prime is 3139363. The reversal of 3139344 is 4439313.

3139344 is a `hidden beast` number, since 313 + 9 + 344 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72987 + ... + 73029.

It is an arithmetic number, because the mean of its divisors is an integer number (83204).

Almost surely, 23139344 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 3139344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992240).

3139344 is an abundant number, since it is smaller than the sum of its proper divisors (6845136).

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

3139344 is a wasteful number, since it uses less digits than its factorization.

3139344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3139344 is about 1771.8194038897. The cubic root of 3139344 is about 146.4242367828.

The spelling of 3139344 in words is "three million, one hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 78 86 104 108 117 129 144 156 169 172 208 216 234 258 312 338 344 351 387 432 468 507 516 559 624 676 688 702 774 936 1014 1032 1118 1161 1352 1404 1521 1548 1677 1872 2028 2064 2236 2322 2704 2808 3042 3096 3354 4056 4472 4563 4644 5031 5616 6084 6192 6708 7267 8112 8944 9126 9288 10062 12168 13416 14534 15093 18252 18576 20124 21801 24336 26832 29068 30186 36504 40248 43602 58136 60372 65403 73008 80496 87204 116272 120744 130806 174408 196209 241488 261612 348816 392418 523224 784836 1046448 1569672 3139344