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10340406450 = 23252112088971
BaseRepresentation
bin10011010000101011…
…00001010010110010
3222200122022001222200
421220111201102302
5132134121001300
64430022444030
7514150001403
oct115025412262
928618261880
1010340406450
114426987460
122006b93616
13c8a394aca
147014539aa
15407bee200
hex2685614b2

10340406450 has 72 divisors (see below), whose sum is σ = 30306805776. Its totient is φ = 2506764000.

The previous prime is 10340406413. The next prime is 10340406473. The reversal of 10340406450 is 5460404301.

10340406450 is a `hidden beast` number, since 10 + 3 + 4 + 0 + 4 + 0 + 645 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1039536 + ... + 1049435.

It is an arithmetic number, because the mean of its divisors is an integer number (420927858).

Almost surely, 210340406450 is an apocalyptic number.

10340406450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10340406450 is an abundant number, since it is smaller than the sum of its proper divisors (19966399326).

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

10340406450 is a wasteful number, since it uses less digits than its factorization.

10340406450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089000 (or 2088992 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 10340406450 in words is "ten billion, three hundred forty million, four hundred six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 2088971 4177942 6266913 10444855 12533826 18800739 20889710 22978681 31334565 37601478 45957362 52224275 62669130 68936043 94003695 104448550 114893405 137872086 156672825 188007390 206808129 229786810 313345650 344680215 413616258 470018475 574467025 689360430 940036950 1034040645 1148934050 1723401075 2068081290 3446802150 5170203225 10340406450