Search a number
-
+
10340323400 = 23521137127031
BaseRepresentation
bin10011010000101010…
…01101000001001000
3222200122010212001202
421220111031001020
5132134110322100
64430021003332
7514146204311
oct115025150110
928618125052
1010340323400
114426930020
122006b53548
13c8a366074
14701431608
15407bd47d5
hex26854d048

10340323400 has 96 divisors (see below), whose sum is σ = 26935865280. Its totient is φ = 3658464000.

The previous prime is 10340323387. The next prime is 10340323493. The reversal of 10340323400 is 432304301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17885 + ... + 144915.

It is an arithmetic number, because the mean of its divisors is an integer number (280581930).

Almost surely, 210340323400 is an apocalyptic number.

10340323400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13467932640).

10340323400 is an abundant number, since it is smaller than the sum of its proper divisors (16595541880).

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

10340323400 is a wasteful number, since it uses less digits than its factorization.

10340323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127095 (or 127086 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10340323400 its reverse (432304301), we get a palindrome (10772627701).

The spelling of 10340323400 in words is "ten billion, three hundred forty million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 148 185 200 220 275 296 370 407 440 550 740 814 925 1100 1480 1628 1850 2035 2200 3256 3700 4070 7400 8140 10175 16280 20350 40700 81400 127031 254062 508124 635155 1016248 1270310 1397341 2540620 2794682 3175775 4700147 5081240 5589364 6351550 6986705 9400294 11178728 12703100 13973410 18800588 23500735 25406200 27946820 34933525 37601176 47001470 51701617 55893640 69867050 94002940 103403234 117503675 139734100 188005880 206806468 235007350 258508085 279468200 413612936 470014700 517016170 940029400 1034032340 1292540425 2068064680 2585080850 5170161700 10340323400