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1234014200 = 235213944389
BaseRepresentation
bin100100110001101…
…1000111111111000
310012000000102020122
41021203120333320
510011401423300
6322241112412
742402643016
oct11143307770
93160012218
101234014200
11583629151
122a5328708
13168873623
14b9c658b6
1573508c85
hex498d8ff8

1234014200 has 48 divisors (see below), whose sum is σ = 2889789000. Its totient is φ = 490043520.

The previous prime is 1234014149. The next prime is 1234014227. The reversal of 1234014200 is 24104321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5606 + ... + 49994.

Almost surely, 21234014200 is an apocalyptic number.

1234014200 is a gapful number since it is divisible by the number (10) 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 1234014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444894500).

1234014200 is an abundant number, since it is smaller than the sum of its proper divisors (1655774800).

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

1234014200 is a wasteful number, since it uses less digits than its factorization.

1234014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44544 (or 44535 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1234014200 is about 35128.5382559537. The cubic root of 1234014200 is about 1072.6055811135.

Adding to 1234014200 its reverse (24104321), we get a palindrome (1258118521).

The spelling of 1234014200 in words is "one billion, two hundred thirty-four million, fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 2780 3475 5560 6950 13900 27800 44389 88778 177556 221945 355112 443890 887780 1109725 1775560 2219450 4438900 6170071 8877800 12340142 24680284 30850355 49360568 61700710 123401420 154251775 246802840 308503550 617007100 1234014200