Search a number
-
+
3114384 = 2437132331
BaseRepresentation
bin1011111000010110010000
312212020010120
423320112100
51244130014
6150430240
735320560
oct13702620
95766116
103114384
111837979
121062380
13850740
145b0da0
15417ba9
hex2f8590

3114384 has 160 divisors (see below), whose sum is σ = 10665984. Its totient is φ = 760320.

The previous prime is 3114367. The next prime is 3114389. The reversal of 3114384 is 4834113.

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114389) 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, 100449 + ... + 100479.

Almost surely, 23114384 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 3114384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332992).

3114384 is an abundant number, since it is smaller than the sum of its proper divisors (7551600).

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

3114384 is a wasteful number, since it uses less digits than its factorization.

3114384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 3114384 is about 1764.7617402924. The cubic root of 3114384 is about 146.0351451015.

Adding to 3114384 its reverse (4834113), we get a palindrome (7948497).

The spelling of 3114384 in words is "three million, one hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 31 39 42 46 48 52 56 62 69 78 84 91 92 93 104 112 124 138 156 161 168 182 184 186 208 217 248 273 276 299 312 322 336 364 368 372 403 434 483 496 546 552 598 624 644 651 713 728 744 806 868 897 966 1092 1104 1196 1209 1288 1302 1426 1456 1488 1612 1736 1794 1932 2093 2139 2184 2392 2418 2576 2604 2821 2852 3224 3472 3588 3864 4186 4278 4368 4784 4836 4991 5208 5642 5704 6279 6448 7176 7728 8372 8463 8556 9269 9672 9982 10416 11284 11408 12558 14352 14973 16744 16926 17112 18538 19344 19964 22568 25116 27807 29946 33488 33852 34224 37076 39928 45136 50232 55614 59892 64883 67704 74152 79856 100464 111228 119784 129766 135408 148304 194649 222456 239568 259532 389298 444912 519064 778596 1038128 1557192 3114384