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3147144 = 23371113131
BaseRepresentation
bin1100000000010110001000
312220220001220
430000112020
51301202034
6151242040
735515230
oct14002610
95826056
103147144
11185a550
121079320
13862620
145bccc0
15422749
hex300588

3147144 has 128 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 748800.

The previous prime is 3147143. The next prime is 3147149. The reversal of 3147144 is 4417413.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3147143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23959 + ... + 24089.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

Almost surely, 23147144 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 3147144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

3147144 is an abundant number, since it is smaller than the sum of its proper divisors (7497336).

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

3147144 is a wasteful number, since it uses less digits than its factorization.

3147144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 3147144 is about 1774.0191656236. The cubic root of 3147144 is about 146.5454048206.

3147144 divided by its sum of digits (24) gives a palindrome (131131).

The spelling of 3147144 in words is "three million, one hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 131 132 143 154 156 168 182 231 262 264 273 286 308 312 364 393 429 462 524 546 572 616 728 786 858 917 924 1001 1048 1092 1144 1441 1572 1703 1716 1834 1848 2002 2184 2751 2882 3003 3144 3406 3432 3668 4004 4323 5109 5502 5764 6006 6812 7336 8008 8646 10087 10218 11004 11528 11921 12012 13624 17292 18733 20174 20436 22008 23842 24024 30261 34584 35763 37466 40348 40872 47684 56199 60522 71526 74932 80696 95368 112398 121044 131131 143052 149864 224796 242088 262262 286104 393393 449592 524524 786786 1049048 1573572 3147144