Search a number
-
+
3114445344 = 253191799539
BaseRepresentation
bin1011100110100010…
…1010101000100000
322001001101012211120
42321220222220200
522334244222334
61233013212240
7140115230403
oct27150525040
98031335746
103114445344
11135902897a
1272b031080
133a831508a
142178b7d3a
1513364d949
hexb9a2aa20

3114445344 has 96 divisors (see below), whose sum is σ = 8654688000. Its totient is φ = 977912064.

The previous prime is 3114445297. The next prime is 3114445357. The reversal of 3114445344 is 4435444113.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321727 + ... + 331265.

It is an arithmetic number, because the mean of its divisors is an integer number (90153000).

Almost surely, 23114445344 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 3114445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327344000).

3114445344 is an abundant number, since it is smaller than the sum of its proper divisors (5540242656).

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

3114445344 is a wasteful number, since it uses less digits than its factorization.

3114445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750 (or 9742 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 3114445344 is about 55807.2158775189. The cubic root of 3114445344 is about 1460.3610391292.

Adding to 3114445344 its reverse (4435444113), we get a palindrome (7549889457).

The spelling of 3114445344 in words is "three billion, one hundred fourteen million, four hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 179 228 304 358 456 537 608 716 912 1074 1432 1824 2148 2864 3401 4296 5728 6802 8592 9539 10203 13604 17184 19078 20406 27208 28617 38156 40812 54416 57234 76312 81624 108832 114468 152624 163248 181241 228936 305248 326496 362482 457872 543723 724964 915744 1087446 1449928 1707481 2174892 2899856 3414962 4349784 5122443 5799712 6829924 8699568 10244886 13659848 17399136 20489772 27319696 32442139 40979544 54639392 64884278 81959088 97326417 129768556 163918176 194652834 259537112 389305668 519074224 778611336 1038148448 1557222672 3114445344