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214026344 = 23747233349
BaseRepresentation
bin11001100000111…
…00100001101000
3112220201122221122
430300130201220
5414242320334
633123154412
75206123340
oct1460344150
9486648848
10214026344
11aa8a3184
125b815a08
133545870c
14205d3d20
1513bca32e
hexcc1c868

214026344 has 64 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 89132544.

The previous prime is 214026313. The next prime is 214026347. The reversal of 214026344 is 443620412.

It is not an unprimeable number, because it can be changed into a prime (214026347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613082 + ... + 613430.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2214026344 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 214026344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

214026344 is an abundant number, since it is smaller than the sum of its proper divisors (257717656).

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

214026344 is a wasteful number, since it uses less digits than its factorization.

214026344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 214026344 is about 14629.6392300015. The cubic root of 214026344 is about 598.1669463006.

Adding to 214026344 its reverse (443620412), we get a palindrome (657646756).

The spelling of 214026344 in words is "two hundred fourteen million, twenty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 233 329 349 376 466 658 698 932 1316 1396 1631 1864 2443 2632 2792 3262 4886 6524 9772 10951 13048 16403 19544 21902 32806 43804 65612 76657 81317 87608 114821 131224 153314 162634 229642 306628 325268 459284 569219 613256 650536 918568 1138438 2276876 3821899 4553752 7643798 15287596 26753293 30575192 53506586 107013172 214026344