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342589338 = 234713171367
BaseRepresentation
bin10100011010110…
…111111110011010
3212212122100020000
4110122313332122
51200200324323
653554513430
711326650510
oct2432677632
9785570200
10342589338
11166423493
1296895876
1355c900b0
14336dc4b0
1520122e43
hex146b7f9a

342589338 has 160 divisors (see below), whose sum is σ = 1001113344. Its totient is φ = 84976128.

The previous prime is 342589337. The next prime is 342589349. The reversal of 342589338 is 833985243.

342589338 is a `hidden beast` number, since 34 + 2 + 589 + 3 + 38 = 666.

It is a super-2 number, since 2×3425893382 = 234734909022556488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342589293 and 342589302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342589333) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249931 + ... + 251297.

Almost surely, 2342589338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342589338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500556672).

342589338 is an abundant number, since it is smaller than the sum of its proper divisors (658524006).

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

342589338 is a wasteful number, since it uses less digits than its factorization.

342589338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 342589338 is about 18509.1690251075. The cubic root of 342589338 is about 699.7205265309.

The spelling of 342589338 in words is "three hundred forty-two million, five hundred eighty-nine thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 81 91 102 117 119 126 153 162 182 189 221 234 238 273 306 351 357 378 442 459 546 567 663 702 714 819 918 1053 1071 1134 1326 1367 1377 1547 1638 1989 2106 2142 2457 2734 2754 3094 3213 3978 4101 4641 4914 5967 6426 7371 8202 9282 9569 9639 11934 12303 13923 14742 17771 17901 19138 19278 23239 24606 27846 28707 35542 35802 36909 41769 46478 53313 57414 69717 73818 83538 86121 106626 110727 124397 125307 139434 159939 162673 172242 209151 221454 248794 250614 258363 302107 319878 325346 373191 418302 479817 488019 516726 604214 627453 746382 775089 906321 959634 976038 1119573 1254906 1439451 1464057 1550178 1812642 1882359 2114749 2239146 2718963 2878902 2928114 3358719 3764718 4229498 4392171 5437926 6344247 6717438 8156889 8784342 10076157 12688494 13176513 16313778 19032741 20152314 24470667 26353026 38065482 48941334 57098223 114196446 171294669 342589338