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342014310 = 232511379337
BaseRepresentation
bin10100011000101…
…011100101100110
3212211120010102200
4110120223211212
51200023424220
653534315330
711322034161
oct2430534546
9784503380
10342014310
11166070460
1296658b46
1355b1b441
14335ccad8
152005c890
hex1462b966

342014310 has 96 divisors (see below), whose sum is σ = 996401952. Its totient is φ = 80663040.

The previous prime is 342014293. The next prime is 342014311. The reversal of 342014310 is 13410243.

342014310 is a `hidden beast` number, since 34 + 201 + 431 + 0 = 666.

342014310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3420143102 = 233947576489552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342014311) 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, 31962 + ... + 41298.

It is an arithmetic number, because the mean of its divisors is an integer number (10379187).

Almost surely, 2342014310 is an apocalyptic number.

342014310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342014310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498200976).

342014310 is an abundant number, since it is smaller than the sum of its proper divisors (654387642).

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

342014310 is a wasteful number, since it uses less digits than its factorization.

342014310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9398 (or 9395 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342014310 is about 18493.6289029493. The cubic root of 342014310 is about 699.3288192427.

Adding to 342014310 its reverse (13410243), we get a palindrome (355424553).

The spelling of 342014310 in words is "three hundred forty-two million, fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 9337 12210 18315 18674 28011 36630 46685 56022 84033 93370 102707 140055 168066 205414 280110 308121 345469 420165 513535 616242 690938 840330 924363 1027070 1036407 1540605 1727345 1848726 2072814 3081210 3109221 3454690 3800159 4621815 5182035 6218442 7600318 9243630 10364070 11400477 15546105 19000795 22800954 31092210 34201431 38001590 57002385 68402862 114004770 171007155 342014310