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434345005240 = 235227116341131
BaseRepresentation
bin1100101001000001111…
…10101101000010111000
31112112010020202102000221
412110200332231002320
524104014310131430
6531311344505424
743244321425426
oct6244076550270
91475106672027
10434345005240
11158228483153
127021931b274
1331c5cc4c753
14170456cc116
15b471be657a
hex6520fad0b8

434345005240 has 64 divisors (see below), whose sum is σ = 982449336960. Its totient is φ = 172819704960.

The previous prime is 434345005207. The next prime is 434345005271. The reversal of 434345005240 is 42500543434.

It is a junction number, because it is equal to n+sod(n) for n = 434345005196 and 434345005205.

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, 10539475 + ... + 10580605.

It is an arithmetic number, because the mean of its divisors is an integer number (15350770890).

Almost surely, 2434345005240 is an apocalyptic number.

434345005240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434345005240 is an abundant number, since it is smaller than the sum of its proper divisors (548104331720).

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

434345005240 is a wasteful number, since it uses less digits than its factorization.

434345005240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42532 (or 42528 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 434345005240 its reverse (42500543434), we get a palindrome (476845548674).

The spelling of 434345005240 in words is "four hundred thirty-four billion, three hundred forty-five million, five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 227 454 908 1135 1163 1816 2270 2326 4540 4652 5815 9080 9304 11630 23260 41131 46520 82262 164524 205655 264001 329048 411310 528002 822620 1056004 1320005 1645240 2112008 2640010 5280020 9336737 10560040 18673474 37346948 46683685 47835353 74693896 93367370 95670706 186734740 191341412 239176765 373469480 382682824 478353530 956707060 1913414120 10858625131 21717250262 43434500524 54293125655 86869001048 108586251310 217172502620 434345005240