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10340024024 = 23112127241349
BaseRepresentation
bin10011010000101000…
…00011111011011000
3222200121120122101202
421220110003323120
5132134021232044
64430010333332
7514143516431
oct115024037330
928617518352
1010340024024
114426746100
122006a2a248
13c8a28ca15
14701394488
15407b75c4e
hex268503ed8

10340024024 has 96 divisors (see below), whose sum is σ = 21628992000. Its totient is φ = 4630348800.

The previous prime is 10340023999. The next prime is 10340024027. The reversal of 10340024024 is 42042004301.

It is a junction number, because it is equal to n+sod(n) for n = 10340023987 and 10340024005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340024027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29627402 + ... + 29627750.

It is an arithmetic number, because the mean of its divisors is an integer number (225302000).

Almost surely, 210340024024 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 10340024024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814496000).

10340024024 is an abundant number, since it is smaller than the sum of its proper divisors (11288967976).

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

10340024024 is a wasteful number, since it uses less digits than its factorization.

10340024024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10340024024 its reverse (42042004301), we get a palindrome (52382028325).

The spelling of 10340024024 in words is "ten billion, three hundred forty million, twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 127 241 242 254 349 482 484 508 698 964 968 1016 1396 1397 1928 2651 2792 2794 3839 5302 5588 7678 10604 11176 15356 15367 21208 29161 30607 30712 30734 42229 44323 58322 61214 61468 84109 84458 88646 116644 122428 122936 168218 168916 177292 233288 244856 336436 336677 337832 354584 487553 672872 673354 925199 975106 1346708 1850398 1950212 2693416 3700796 3703447 3900424 5363083 7401592 7406894 10177189 10681843 10726166 14813788 20354378 21363686 21452332 29627576 40708756 42727372 42904664 81417512 85454744 117500273 235000546 470001092 940002184 1292503003 2585006006 5170012012 10340024024