Search a number
-
+
10340314440 = 2335296929023
BaseRepresentation
bin10011010000101010…
…01010110101001000
3222200122010101202220
421220111022311020
5132134110030230
64430020454040
7514146136221
oct115025126510
928618111686
1010340314440
114426924315
122006b4a320
13c8a361c71
1470142c248
15407bd1d10
hex26854ad48

10340314440 has 64 divisors (see below), whose sum is σ = 31032460800. Its totient is φ = 2756393472.

The previous prime is 10340314403. The next prime is 10340314441. The reversal of 10340314440 is 4441304301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10340314440.

It is not an unprimeable number, because it can be changed into a prime (10340314441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341769 + ... + 370791.

It is an arithmetic number, because the mean of its divisors is an integer number (484882200).

Almost surely, 210340314440 is an apocalyptic number.

10340314440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340314440 is an abundant number, since it is smaller than the sum of its proper divisors (20692146360).

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

10340314440 is a wasteful number, since it uses less digits than its factorization.

10340314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32006 (or 32002 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10340314440 its reverse (4441304301), we get a palindrome (14781618741).

The spelling of 10340314440 in words is "ten billion, three hundred forty million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2969 5938 8907 11876 14845 17814 23752 29023 29690 35628 44535 58046 59380 71256 87069 89070 116092 118760 145115 174138 178140 232184 290230 348276 356280 435345 580460 696552 870690 1160920 1741380 3482760 86169287 172338574 258507861 344677148 430846435 517015722 689354296 861692870 1034031444 1292539305 1723385740 2068062888 2585078610 3446771480 5170157220 10340314440