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214453434 = 231329113839
BaseRepresentation
bin11001100100001…
…00110010111010
3112221112100210210
430302010302322
5414400002214
633140251550
75212552446
oct1462046272
9487470723
10214453434
11100065048
125b9a0bb6
1335577c30
14206a5826
1513c61b59
hexcc84cba

214453434 has 64 divisors (see below), whose sum is σ = 482630400. Its totient is φ = 63071232.

The previous prime is 214453429. The next prime is 214453451. The reversal of 214453434 is 434354412.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255187 + ... + 256025.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2214453434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214453434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

214453434 is an abundant number, since it is smaller than the sum of its proper divisors (268176966).

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

214453434 is a wasteful number, since it uses less digits than its factorization.

214453434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999.

The product of its digits is 23040, while the sum is 30.

The square root of 214453434 is about 14644.2286925601. The cubic root of 214453434 is about 598.5645630510.

The spelling of 214453434 in words is "two hundred fourteen million, four hundred fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 113 174 226 339 377 678 754 839 1131 1469 1678 2262 2517 2938 3277 4407 5034 6554 8814 9831 10907 19662 21814 24331 32721 42601 48662 65442 72993 85202 94807 127803 145986 189614 255606 284421 316303 568842 632606 948909 1232491 1897818 2464982 2749403 3697473 5498806 7394946 8248209 16496418 35742239 71484478 107226717 214453434