Search a number
-
+
3111244240 = 2451312792339
BaseRepresentation
bin1011100101110001…
…1101000111010000
322000211100120202011
42321130131013100
522332434303430
61232420432304
7140046065626
oct27134350720
98024316664
103111244240
111357241935
12729b48694
133a7764030
142172c3516
1513321a22a
hexb971d1d0

3111244240 has 80 divisors (see below), whose sum is σ = 7799500800. Its totient is φ = 1147378176.

The previous prime is 3111244237. The next prime is 3111244249. The reversal of 3111244240 is 424421113.

It is a happy number.

3111244240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3111244249) 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, 1328991 + ... + 1331329.

It is an arithmetic number, because the mean of its divisors is an integer number (97493760).

Almost surely, 23111244240 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 3111244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899750400).

3111244240 is an abundant number, since it is smaller than the sum of its proper divisors (4688256560).

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

3111244240 is a wasteful number, since it uses less digits than its factorization.

3111244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3111244240 is about 55778.5284854307. The cubic root of 3111244240 is about 1459.8605358746.

Adding to 3111244240 its reverse (424421113), we get a palindrome (3535665353).

The spelling of 3111244240 in words is "three billion, one hundred eleven million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1279 2339 2558 4678 5116 6395 9356 10232 11695 12790 16627 18712 20464 23390 25580 30407 33254 37424 46780 51160 60814 66508 83135 93560 102320 121628 133016 152035 166270 187120 243256 266032 304070 332540 486512 608140 665080 1216280 1330160 2432560 2991581 5983162 11966324 14957905 23932648 29915810 38890553 47865296 59831620 77781106 119663240 155562212 194452765 239326480 311124424 388905530 622248848 777811060 1555622120 3111244240