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430030304 = 25114183359
BaseRepresentation
bin11001101000011…
…011110111100000
31002222011210200022
4121220123313200
51340041432204
6110401013012
713441124444
oct3150336740
91088153608
10430030304
11200817150
12100024168
136b127302
1441180824
1527b465be
hex19a1bde0

430030304 has 96 divisors (see below), whose sum is σ = 960180480. Its totient is φ = 187878400.

The previous prime is 430030267. The next prime is 430030309. The reversal of 430030304 is 403030034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430030309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197677 + ... + 1198035.

It is an arithmetic number, because the mean of its divisors is an integer number (10001880).

Almost surely, 2430030304 is an apocalyptic number.

430030304 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 430030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480090240).

430030304 is an abundant number, since it is smaller than the sum of its proper divisors (530150176).

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

430030304 is a wasteful number, since it uses less digits than its factorization.

430030304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 430030304 is about 20737.1720347785. The cubic root of 430030304 is about 754.8019620055.

Adding to 430030304 its reverse (403030034), we get a palindrome (833060338).

The spelling of 430030304 in words is "four hundred thirty million, thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 83 88 164 166 176 328 332 352 359 451 656 664 718 902 913 1312 1328 1436 1804 1826 2656 2872 3403 3608 3652 3949 5744 6806 7216 7304 7898 11488 13612 14432 14608 14719 15796 27224 29216 29438 29797 31592 37433 54448 58876 59594 63184 74866 108896 117752 119188 126368 149732 161909 235504 238376 299464 323818 327767 471008 476752 598928 647636 655534 953504 1197856 1221677 1295272 1311068 2443354 2590544 2622136 4886708 5181088 5244272 9773416 10488544 13438447 19546832 26876894 39093664 53753788 107507576 215015152 430030304