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34302330414 = 23311217308813
BaseRepresentation
bin11111111100100101…
…000000011000101110
310021112120212221012000
4133330211000120232
51030222344033124
623431441553130
72323020666132
oct377445003056
9107476787160
1034302330414
1113602853600
1267939457a6
13330881c241
1419359bb3c2
15d5b6bd6c9
hex7fc94062e

34302330414 has 96 divisors (see below), whose sum is σ = 88716085920. Its totient is φ = 9783164160.

The previous prime is 34302330373. The next prime is 34302330437. The reversal of 34302330414 is 41403320343.

34302330414 is a `hidden beast` number, since 343 + 0 + 2 + 3 + 304 + 14 = 666.

It is a super-2 number, since 2×343023304142 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43329 + ... + 265484.

It is an arithmetic number, because the mean of its divisors is an integer number (924125895).

Almost surely, 234302330414 is an apocalyptic number.

34302330414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34302330414 is an abundant number, since it is smaller than the sum of its proper divisors (54413755506).

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

34302330414 is a wasteful number, since it uses less digits than its factorization.

34302330414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308863 (or 308846 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34302330414 its reverse (41403320343), we get a palindrome (75705650757).

The spelling of 34302330414 in words is "thirty-four billion, three hundred two million, three hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 121 153 187 198 242 297 306 363 374 459 561 594 726 918 1089 1122 1683 2057 2178 3267 3366 4114 5049 6171 6534 10098 12342 18513 37026 55539 111078 308813 617626 926439 1852878 2779317 3396943 5249821 5558634 6793886 8337951 10190829 10499642 15749463 16675902 20381658 30572487 31498926 37366373 47248389 57748031 61144974 74732746 91717461 94496778 112099119 115496062 141745167 173244093 183434922 224198238 283490334 336297357 346488186 519732279 635228341 672594714 1008892071 1039464558 1270456682 1559196837 1905685023 2017784142 3118393674 3811370046 5717055069 11434110138 17151165207 34302330414