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12800034 = 23213192879
BaseRepresentation
bin110000110101…
…000000100010
3220002022100100
4300311000202
511234100114
61134203230
7213540612
oct60650042
926068310
1012800034
117252945
124353516
1328621b0
1419b2a42
1511cc909
hexc35022

12800034 has 48 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3729888.

The previous prime is 12800017. The next prime is 12800041. The reversal of 12800034 is 43000821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3007 + ... + 5885.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 212800034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12800034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

12800034 is an abundant number, since it is smaller than the sum of its proper divisors (18649566).

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

12800034 is a wasteful number, since it uses less digits than its factorization.

12800034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12800034 is about 3577.7135156410. The cubic root of 12800034 is about 233.9216261748.

Adding to 12800034 its reverse (43000821), we get a palindrome (55800855).

The spelling of 12800034 in words is "twelve million, eight hundred thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 2879 4446 5758 8637 17274 25911 37427 51822 54701 74854 109402 112281 164103 224562 328206 336843 492309 673686 711113 984618 1422226 2133339 4266678 6400017 12800034