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214351434 = 23411373251
BaseRepresentation
bin11001100011010…
…11111001001010
3112221100011220000
430301223321022
5414333221214
633134143430
75211646203
oct1461537112
9487304800
10214351434
11aaaa5450
125b951b76
133554068b
142067a5aa
1513c41809
hexcc6be4a

214351434 has 80 divisors (see below), whose sum is σ = 538297056. Its totient is φ = 63180000.

The previous prime is 214351399. The next prime is 214351439. The reversal of 214351434 is 434153412.

It is a happy number.

214351434 is a `hidden beast` number, since 2 + 143 + 514 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 214351398 and 214351407.

It is not an unprimeable number, because it can be changed into a prime (214351439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64309 + ... + 67559.

Almost surely, 2214351434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214351434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269148528).

214351434 is an abundant number, since it is smaller than the sum of its proper divisors (323945622).

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

214351434 is a wasteful number, since it uses less digits than its factorization.

214351434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3304 counting only the distinct ones).

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

The square root of 214351434 is about 14640.7456777310. The cubic root of 214351434 is about 598.4696500335.

The spelling of 214351434 in words is "two hundred fourteen million, three hundred fifty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 111 162 198 222 297 333 407 594 666 814 891 999 1221 1782 1998 2442 2997 3251 3663 5994 6502 7326 9753 10989 19506 21978 29259 32967 35761 58518 65934 71522 87777 107283 120287 175554 214566 240574 263331 321849 360861 526662 643698 721722 965547 1082583 1323157 1931094 2165166 2646314 2896641 3247749 3969471 5793282 6495498 7938942 9743247 11908413 19486494 23816826 35725239 71450478 107175717 214351434