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3344212144 = 2471323372699
BaseRepresentation
bin1100011101010100…
…1010000010110000
322122001201120122001
43013111022002300
523322104242034
61311502023344
7145605222430
oct30725120260
98561646561
103344212144
1114667a2099
12793b77b54
13413ac2170
1423a2082c0
151488d7a14
hexc754a0b0

3344212144 has 160 divisors (see below), whose sum is σ = 8549452800. Its totient is φ = 1230806016.

The previous prime is 3344212139. The next prime is 3344212177. The reversal of 3344212144 is 4412124433.

It is a super-2 number, since 2×33442121442 = 22367509728154153472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 1237707 + ... + 1240405.

It is an arithmetic number, because the mean of its divisors is an integer number (53434080).

Almost surely, 23344212144 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 3344212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

3344212144 is an abundant number, since it is smaller than the sum of its proper divisors (5205240656).

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

3344212144 is a wasteful number, since it uses less digits than its factorization.

3344212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 3344212144 is about 57829.1634385281. The cubic root of 3344212144 is about 1495.4248959507.

Adding to 3344212144 its reverse (4412124433), we get a palindrome (7756336577).

The spelling of 3344212144 in words is "three billion, three hundred forty-four million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 37 46 52 56 74 91 92 104 112 148 161 182 184 208 259 296 299 322 364 368 481 518 592 598 644 728 851 962 1036 1196 1288 1456 1702 1924 2072 2093 2392 2576 2699 3367 3404 3848 4144 4186 4784 5398 5957 6734 6808 7696 8372 10796 11063 11914 13468 13616 16744 18893 21592 22126 23828 26936 33488 35087 37786 43184 44252 47656 53872 62077 70174 75572 77441 88504 95312 99863 124154 140348 151144 154882 177008 199726 245609 248308 280696 302288 309764 399452 434539 491218 496616 561392 619528 699041 798904 807001 869078 982436 993232 1239056 1298219 1398082 1597808 1614002 1738156 1964872 2296849 2596438 2796164 3228004 3476312 3929744 4593698 5192876 5592328 5649007 6456008 6952624 9087533 9187396 10385752 11184656 11298014 12912016 16077943 18175066 18374792 20771504 22596028 29859037 32155886 36350132 36749584 45192056 59718074 64311772 72700264 90384112 119436148 128623544 145400528 209013259 238872296 257247088 418026518 477744592 836053036 1672106072 3344212144