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34052021325 = 355271515303
BaseRepresentation
bin11111101101101010…
…001001110001001101
310020220010212220200000
4133231222021301031
51024214304140300
623350540554513
72313561256050
oct375552116115
9106803786600
1034052021325
1113494529693
126723b52a39
1332989cbc5a
141910660a97
15d44727c00
hex7eda89c4d

34052021325 has 144 divisors (see below), whose sum is σ = 72778008576. Its totient is φ = 15460632000.

The previous prime is 34052021303. The next prime is 34052021329. The reversal of 34052021325 is 52312025043.

It is a happy number.

34052021325 is a `hidden beast` number, since 3 + 4 + 0 + 520 + 2 + 132 + 5 = 666.

It is not a de Polignac number, because 34052021325 - 214 = 34052004941 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34052021329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6418624 + ... + 6423926.

Almost surely, 234052021325 is an apocalyptic number.

34052021325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34052021325 is an abundant number, since it is smaller than the sum of its proper divisors (38725987251).

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

34052021325 is a wasteful number, since it uses less digits than its factorization.

34052021325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 34052021325 its reverse (52312025043), we get a palindrome (86364046368).

The spelling of 34052021325 in words is "thirty-four billion, fifty-two million, twenty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 151 175 189 225 243 315 405 453 525 567 675 755 945 1057 1215 1359 1575 1701 2025 2265 2835 3171 3775 4077 4725 5285 5303 6075 6795 8505 9513 11325 12231 14175 15855 15909 20385 26425 26515 28539 33975 36693 37121 42525 47565 47727 61155 79275 79545 85617 101925 111363 132575 142695 143181 183465 185605 237825 238635 256851 305775 334089 397725 428085 429543 556815 713475 715905 800753 917325 928025 1002267 1193175 1284255 1288629 1670445 2140425 2147715 2402259 2784075 3006801 3579525 4003765 5011335 5605271 6421275 6443145 7206777 8352225 9020403 10738575 12011295 15034005 16815813 20018825 21620331 25056675 28026355 32215725 36033885 45102015 50447439 60056475 64860993 75170025 84079065 108101655 140131775 151342317 180169425 194582979 225510075 252237195 324304965 420395325 454026951 540508275 756711585 972914895 1261185975 1362080853 1621524825 2270134755 3783557925 4864574475 6810404265 11350673775 34052021325