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20340012400 = 245282961339
BaseRepresentation
bin10010111100010110…
…111111010101110000
31221111112022200120121
4102330112333111300
5313124020344100
613202153020024
71320021152461
oct227426772560
957445280517
1020340012400
118698452404
123b379b4614
131bc1c74ac6
14dad512d68
157e0a3051a
hex4bc5bf570

20340012400 has 60 divisors (see below), whose sum is σ = 48926624200. Its totient is φ = 8126058240.

The previous prime is 20340012391. The next prime is 20340012403. The reversal of 20340012400 is 421004302.

It is a super-2 number, since 2×203400124002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20340012403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300931 + ... + 362269.

Almost surely, 220340012400 is an apocalyptic number.

20340012400 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 20340012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24463312100).

20340012400 is an abundant number, since it is smaller than the sum of its proper divisors (28586611800).

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

20340012400 is a wasteful number, since it uses less digits than its factorization.

20340012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62186 (or 62175 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20340012400 its reverse (421004302), we get a palindrome (20761016702).

The spelling of 20340012400 in words is "twenty billion, three hundred forty million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 829 1658 3316 4145 6632 8290 13264 16580 20725 33160 41450 61339 66320 82900 122678 165800 245356 306695 331600 490712 613390 981424 1226780 1533475 2453560 3066950 4907120 6133900 12267800 24535600 50850031 101700062 203400124 254250155 406800248 508500310 813600496 1017000620 1271250775 2034001240 2542501550 4068002480 5085003100 10170006200 20340012400