Search a number
-
+
3119424 = 263711211
BaseRepresentation
bin1011111001100101000000
312212111001020
423321211000
51244310144
6150505440
735341350
oct13714500
95774036
103119424
111840740
121065280
13852b19
145b2b60
15419419
hex2f9940

3119424 has 112 divisors (see below), whose sum is σ = 10338816. Its totient is φ = 806400.

The previous prime is 3119411. The next prime is 3119429. The reversal of 3119424 is 4249113.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 3119394 and 3119403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3119429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14679 + ... + 14889.

Almost surely, 23119424 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 3119424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169408).

3119424 is an abundant number, since it is smaller than the sum of its proper divisors (7219392).

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

3119424 is a wasteful number, since it uses less digits than its factorization.

3119424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 3119424 is about 1766.1891178467. The cubic root of 3119424 is about 146.1138787511.

The spelling of 3119424 in words is "three million, one hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 211 224 231 264 308 336 352 422 448 462 528 616 633 672 704 844 924 1056 1232 1266 1344 1477 1688 1848 2112 2321 2464 2532 2954 3376 3696 4431 4642 4928 5064 5908 6752 6963 7392 8862 9284 10128 11816 13504 13926 14784 16247 17724 18568 20256 23632 27852 32494 35448 37136 40512 47264 48741 55704 64988 70896 74272 94528 97482 111408 129976 141792 148544 194964 222816 259952 283584 389928 445632 519904 779856 1039808 1559712 3119424