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214413342 = 231113247409
BaseRepresentation
bin11001100011110…
…11000000011110
3112221110022210220
430301323000132
5414342211332
633135342210
75212324533
oct1461730036
9487408726
10214413342
11100037a10
125b981966
1335562900
1420694d8a
1513c54d2c
hexcc7b01e

214413342 has 96 divisors (see below), whose sum is σ = 518607360. Its totient is φ = 58556160.

The previous prime is 214413323. The next prime is 214413343. The reversal of 214413342 is 243314412.

214413342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214413343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524034 + ... + 524442.

It is an arithmetic number, because the mean of its divisors is an integer number (5402160).

Almost surely, 2214413342 is an apocalyptic number.

214413342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214413342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259303680).

214413342 is an abundant number, since it is smaller than the sum of its proper divisors (304194018).

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

214413342 is a wasteful number, since it uses less digits than its factorization.

214413342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 214413342 is about 14642.8597616722. The cubic root of 214413342 is about 598.5272602426.

Adding to 214413342 its reverse (243314412), we get a palindrome (457727754).

The spelling of 214413342 in words is "two hundred fourteen million, four hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 47 66 78 94 141 143 169 282 286 338 409 429 507 517 611 818 858 1014 1034 1222 1227 1551 1833 1859 2454 3102 3666 3718 4499 5317 5577 6721 7943 8998 10634 11154 13442 13497 15886 15951 19223 20163 23829 26994 31902 38446 40326 47658 57669 58487 69121 87373 115338 116974 138242 174746 175461 207363 211453 249899 262119 350922 414726 422906 499798 524238 634359 749697 760331 1268718 1499394 1520662 2280993 2748889 3248687 4561986 5497778 6497374 8246667 9746061 16493334 19492122 35735557 71471114 107206671 214413342