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10344341010 = 2354312896221
BaseRepresentation
bin10011010001001001…
…00001111000010010
3222200220200222012010
421220210201320102
5132141122403020
64430243043350
7514225306413
oct115044417022
928626628163
1010344341010
114429124563
122008370556
13c8b141953
14701b9980a
15408229de0
hex268921e12

10344341010 has 64 divisors (see below), whose sum is σ = 25427571840. Its totient is φ = 2691816960.

The previous prime is 10344340969. The next prime is 10344341023. The reversal of 10344341010 is 1014344301.

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, 1659700 + ... + 1665920.

It is an arithmetic number, because the mean of its divisors is an integer number (397305810).

Almost surely, 210344341010 is an apocalyptic number.

10344341010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344341010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713785920).

10344341010 is an abundant number, since it is smaller than the sum of its proper divisors (15083230830).

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

10344341010 is a wasteful number, since it uses less digits than its factorization.

10344341010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10344341010 its reverse (1014344301), we get a palindrome (11358685311).

It can be divided in two parts, 103443 and 41010, that added together give a triangular number (144453 = T537).

The spelling of 10344341010 in words is "ten billion, three hundred forty-four million, three hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1289 1290 2578 3867 6221 6445 7734 12442 12890 18663 19335 31105 37326 38670 55427 62210 93315 110854 166281 186630 267503 277135 332562 535006 554270 802509 831405 1337515 1605018 1662810 2675030 4012545 8018869 8025090 16037738 24056607 40094345 48113214 80188690 120283035 240566070 344811367 689622734 1034434101 1724056835 2068868202 3448113670 5172170505 10344341010