Search a number
-
+
430304004 = 2232136115073
BaseRepresentation
bin11001101001011…
…110101100000100
31002222200201010100
4121221132230010
51340124212004
6110410524100
713443344424
oct3151365404
91088621110
10430304004
11200993849
12100136630
136b1c1a70
1441212484
1527b9c739
hex19a5eb04

430304004 has 72 divisors (see below), whose sum is σ = 1190665112. Its totient is φ = 130222080.

The previous prime is 430303997. The next prime is 430304029. The reversal of 430304004 is 400403034.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 424772100 = 2352^2 + 20610^2 .

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, 21012 + ... + 36084.

Almost surely, 2430304004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430304004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595332556).

430304004 is an abundant number, since it is smaller than the sum of its proper divisors (760361108).

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

430304004 is a wasteful number, since it uses less digits than its factorization.

430304004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15157 (or 15152 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 430304004 is about 20743.7702455460. The cubic root of 430304004 is about 754.9620635003.

Adding to 430304004 its reverse (400403034), we get a palindrome (830707038).

The spelling of 430304004 in words is "four hundred thirty million, three hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4758 7137 9516 14274 15073 28548 30146 45219 60292 90438 135657 180876 195949 271314 391898 542628 587847 783796 919453 1175694 1763541 1838906 2351388 2758359 3527082 3677812 5516718 7054164 8275077 11033436 11952889 16550154 23905778 33100308 35858667 47811556 71717334 107576001 143434668 215152002 430304004