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434014320 = 24357972269
BaseRepresentation
bin11001110111101…
…000100001110000
31010020200012201110
4121313220201300
51342101424240
6111022233320
713520026605
oct3167504160
91106605643
10434014320
11202a98423
12101425840
136bbc080c
14418da6ac
1528181c80
hex19de8870

434014320 has 80 divisors (see below), whose sum is σ = 1347726240. Its totient is φ = 115540992.

The previous prime is 434014313. The next prime is 434014333. The reversal of 434014320 is 23410434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190146 + ... + 192414.

It is an arithmetic number, because the mean of its divisors is an integer number (16846578).

Almost surely, 2434014320 is an apocalyptic number.

434014320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434014320 is an abundant number, since it is smaller than the sum of its proper divisors (913711920).

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

434014320 is a wasteful number, since it uses less digits than its factorization.

434014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 434014320 is about 20833.0103441629. The cubic root of 434014320 is about 757.1257548562.

Adding to 434014320 its reverse (23410434), we get a palindrome (457424754).

The spelling of 434014320 in words is "four hundred thirty-four million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 797 1594 2269 2391 3188 3985 4538 4782 6376 6807 7970 9076 9564 11345 11955 12752 13614 15940 18152 19128 22690 23910 27228 31880 34035 36304 38256 45380 47820 54456 63760 68070 90760 95640 108912 136140 181520 191280 272280 544560 1808393 3616786 5425179 7233572 9041965 10850358 14467144 18083930 21700716 27125895 28934288 36167860 43401432 54251790 72335720 86802864 108503580 144671440 217007160 434014320