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20340400 = 2452211241
BaseRepresentation
bin100110110010…
…1111010110000
31102021101210011
41031211322300
520201343100
62003544304
7334614313
oct115457260
942241704
1020340400
1110533053
12698b094
1342a2352
1429b697a
151bbbbba
hex1365eb0

20340400 has 60 divisors (see below), whose sum is σ = 49303144. Its totient is φ = 8064000.

The previous prime is 20340391. The next prime is 20340401. The reversal of 20340400 is 404302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20340401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84280 + ... + 84520.

Almost surely, 220340400 is an apocalyptic number.

20340400 is a gapful number since it is divisible by the number (20) 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 20340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24651572).

20340400 is an abundant number, since it is smaller than the sum of its proper divisors (28962744).

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

20340400 is a wasteful number, since it uses less digits than its factorization.

20340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 20340400 is about 4510.0332593009. The cubic root of 20340400 is about 272.9730861221.

Adding to 20340400 its reverse (404302), we get a palindrome (20744702).

The spelling of 20340400 in words is "twenty million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 211 241 400 422 482 844 964 1055 1205 1688 1928 2110 2410 3376 3856 4220 4820 5275 6025 8440 9640 10550 12050 16880 19280 21100 24100 42200 48200 50851 84400 96400 101702 203404 254255 406808 508510 813616 1017020 1271275 2034040 2542550 4068080 5085100 10170200 20340400