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424430304 = 25347109863
BaseRepresentation
bin11001010011000…
…100101011100000
31002120122021220220
4121103010223200
51332123232204
6110041003040
713342412064
oct3123045340
91076567826
10424430304
111a8641851
12ba183480
1369c163bc
1440523aa4
15273dc1d9
hex194c4ae0

424430304 has 96 divisors (see below), whose sum is σ = 1149603840. Its totient is φ = 137037312.

The previous prime is 424430297. The next prime is 424430309. The reversal of 424430304 is 403034424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424430309) 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, 491377 + ... + 492239.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 2424430304 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 424430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574801920).

424430304 is an abundant number, since it is smaller than the sum of its proper divisors (725173536).

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

424430304 is a wasteful number, since it uses less digits than its factorization.

424430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 424430304 is about 20601.7063370974. The cubic root of 424430304 is about 751.5112071809.

Adding to 424430304 its reverse (403034424), we get a palindrome (827464728).

The spelling of 424430304 in words is "four hundred twenty-four million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 109 141 188 218 282 327 376 436 564 654 752 863 872 1128 1308 1504 1726 1744 2256 2589 2616 3452 3488 4512 5123 5178 5232 6904 10246 10356 10464 13808 15369 20492 20712 27616 30738 40561 40984 41424 61476 81122 81968 82848 94067 121683 122952 162244 163936 188134 243366 245904 282201 324488 376268 486732 491808 564402 648976 752536 973464 1128804 1297952 1505072 1946928 2257608 3010144 3893856 4421149 4515216 8842298 9030432 13263447 17684596 26526894 35369192 53053788 70738384 106107576 141476768 212215152 424430304