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10340512 = 257135367
BaseRepresentation
bin100111011100…
…100010100000
3201110100111221
4213130202200
510121344022
61005344424
7153615160
oct47344240
921410457
1010340512
115922a86
123568114
1321b0860
1415325a0
15d93cc7
hex9dc8a0

10340512 has 96 divisors (see below), whose sum is σ = 25909632. Its totient is φ = 3953664.

The previous prime is 10340507. The next prime is 10340513. The reversal of 10340512 is 21504301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10340513) 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, 154303 + ... + 154369.

It is an arithmetic number, because the mean of its divisors is an integer number (269892).

Almost surely, 210340512 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 10340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954816).

10340512 is an abundant number, since it is smaller than the sum of its proper divisors (15569120).

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

10340512 is a wasteful number, since it uses less digits than its factorization.

10340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10340512 is about 3215.6666493901. Note that the first 4 decimals coincide. The cubic root of 10340512 is about 217.8615960698.

Adding to 10340512 its reverse (21504301), we get a palindrome (31844813).

The spelling of 10340512 in words is "ten million, three hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 67 91 104 106 112 134 182 208 212 224 268 364 371 416 424 469 536 689 728 742 848 871 938 1072 1378 1456 1484 1696 1742 1876 2144 2756 2912 2968 3484 3551 3752 4823 5512 5936 6097 6968 7102 7504 9646 11024 11872 12194 13936 14204 15008 19292 22048 24388 24857 27872 28408 38584 46163 48776 49714 56816 77168 92326 97552 99428 113632 154336 184652 195104 198856 323141 369304 397712 646282 738608 795424 1292564 1477216 2585128 5170256 10340512