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434540380 = 2252347101199
BaseRepresentation
bin11001111001101…
…000111101011100
31010021122221100011
4121321220331130
51342220243010
6111041413004
713524350401
oct3171507534
91107587304
10434540380
1120331768a
1210163a164
136c0460b1
14419d62a8
1528237a8a
hex19e68f5c

434540380 has 96 divisors (see below), whose sum is σ = 987033600. Its totient is φ = 160300800.

The previous prime is 434540341. The next prime is 434540399. The reversal of 434540380 is 83045434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2183521 + ... + 2183719.

It is an arithmetic number, because the mean of its divisors is an integer number (10281600).

Almost surely, 2434540380 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 434540380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

434540380 is an abundant number, since it is smaller than the sum of its proper divisors (552493220).

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

434540380 is a wasteful number, since it uses less digits than its factorization.

434540380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 434540380 is about 20845.6321564015. The cubic root of 434540380 is about 757.4315302983.

The spelling of 434540380 in words is "four hundred thirty-four million, five hundred forty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 101 115 188 199 202 230 235 398 404 460 470 505 796 940 995 1010 1081 1990 2020 2162 2323 3980 4324 4577 4646 4747 5405 9154 9292 9353 9494 10810 11615 18308 18706 18988 20099 21620 22885 23230 23735 37412 40198 45770 46460 46765 47470 80396 91540 93530 94940 100495 109181 187060 200990 215119 218362 401980 430238 436724 462277 545905 860476 924554 944653 1075595 1091810 1849108 1889306 2151190 2183620 2311385 3778612 4302380 4622770 4723265 9245540 9446530 18893060 21727019 43454038 86908076 108635095 217270190 434540380