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426400304 = 241119312553
BaseRepresentation
bin11001011010100…
…101101000110000
31002201100101020212
4121122211220300
51333124302204
6110151123252
713365225401
oct3132455060
91081311225
10426400304
111a9767950
12ba973528
136a455c95
14408b79a8
152767ac6e
hex196a5a30

426400304 has 40 divisors (see below), whose sum is σ = 905997072. Its totient is φ = 192798720.

The previous prime is 426400301. The next prime is 426400333. The reversal of 426400304 is 403004624.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 426400304.

It is not an unprimeable number, because it can be changed into a prime (426400301) 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 7 ways as a sum of consecutive naturals, for example, 27692 + ... + 40244.

Almost surely, 2426400304 is an apocalyptic number.

426400304 is a gapful number since it is divisible by the number (44) 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 426400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452998536).

426400304 is an abundant number, since it is smaller than the sum of its proper divisors (479596768).

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

426400304 is a wasteful number, since it uses less digits than its factorization.

426400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765 (or 12759 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 426400304 is about 20649.4625595922. The cubic root of 426400304 is about 752.6721299518.

Adding to 426400304 its reverse (403004624), we get a palindrome (829404928).

The spelling of 426400304 in words is "four hundred twenty-six million, four hundred thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 193 386 772 1544 2123 3088 4246 8492 12553 16984 25106 33968 50212 100424 138083 200848 276166 552332 1104664 2209328 2422729 4845458 9690916 19381832 26650019 38763664 53300038 106600076 213200152 426400304