Search a number
-
+
3413103344 = 247131353659
BaseRepresentation
bin1100101101101111…
…1101001011110000
322210212100121120222
43023123331023300
523442223301334
61322402352212
7150402620420
oct31333751360
98725317528
103413103344
1114a1676072
127b305b668
134251630a1
1424541c480
1514e994d2e
hexcb6fd2f0

3413103344 has 80 divisors (see below), whose sum is σ = 7648439040. Its totient is φ = 1445283840.

The previous prime is 3413103329. The next prime is 3413103349. The reversal of 3413103344 is 4433013143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413103349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5178887 + ... + 5179545.

It is an arithmetic number, because the mean of its divisors is an integer number (95605488).

Almost surely, 23413103344 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 3413103344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824219520).

3413103344 is an abundant number, since it is smaller than the sum of its proper divisors (4235335696).

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

3413103344 is a wasteful number, since it uses less digits than its factorization.

3413103344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3413103344 is about 58421.7711474070. The cubic root of 3413103344 is about 1505.6238285362.

Adding to 3413103344 its reverse (4433013143), we get a palindrome (7846116487).

The spelling of 3413103344 in words is "three billion, four hundred thirteen million, one hundred three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 353 524 659 706 917 1048 1318 1412 1834 2096 2471 2636 2824 3668 4613 4942 5272 5648 7336 9226 9884 10544 14672 18452 19768 36904 39536 46243 73808 86329 92486 172658 184972 232627 323701 345316 369944 465254 604303 647402 690632 739888 930508 1208606 1294804 1381264 1628389 1861016 2417212 2589608 3256778 3722032 4834424 5179216 6513556 9668848 13027112 26054224 30474137 60948274 121896548 213318959 243793096 426637918 487586192 853275836 1706551672 3413103344