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3113242340 = 2251319241809
BaseRepresentation
bin1011100110010000…
…0100111011100100
322000222010002121212
42321210010323210
522333442223330
61232531330552
7140102060165
oct27144047344
98028102555
103113242340
11135838705a
1272a750a58
133a7cb3640
1421768376c
151334b2295
hexb9904ee4

3113242340 has 144 divisors (see below), whose sum is σ = 7621432560. Its totient is φ = 1061130240.

The previous prime is 3113242267. The next prime is 3113242343. The reversal of 3113242340 is 432423113.

It can be written as a sum of positive squares in 8 ways, for example, as 331312804 + 2781929536 = 18202^2 + 52744^2 .

It is not an unprimeable number, because it can be changed into a prime (3113242343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3847856 + ... + 3848664.

It is an arithmetic number, because the mean of its divisors is an integer number (52926615).

Almost surely, 23113242340 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 3113242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810716280).

3113242340 is an abundant number, since it is smaller than the sum of its proper divisors (4508190220).

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

3113242340 is a wasteful number, since it uses less digits than its factorization.

3113242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3113242340 is about 55796.4366245731. The cubic root of 3113242340 is about 1460.1729856958.

Adding to 3113242340 its reverse (432423113), we get a palindrome (3545665453).

The spelling of 3113242340 in words is "three billion, one hundred thirteen million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 41 52 65 76 82 95 130 164 190 205 247 260 361 380 410 494 533 722 779 809 820 988 1066 1235 1444 1558 1618 1805 2132 2470 2665 3116 3236 3610 3895 4045 4693 4940 5330 7220 7790 8090 9386 10127 10517 10660 14801 15371 15580 16180 18772 20254 21034 23465 29602 30742 33169 40508 42068 46930 50635 52585 59204 61484 66338 74005 76855 93860 101270 105170 132676 148010 153710 165845 192413 199823 202540 210340 292049 296020 307420 331690 384826 399646 431197 584098 630211 663380 769652 799292 862394 962065 999115 1168196 1260422 1460245 1724788 1924130 1998230 2155985 2520844 2920490 3151055 3796637 3848260 3996460 4311970 5840980 6302110 7593274 8192743 8623940 11974009 12604220 15186548 16385486 18983185 23948018 32770972 37966370 40963715 47896036 59870045 75932740 81927430 119740090 155662117 163854860 239480180 311324234 622648468 778310585 1556621170 3113242340