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34890345 = 345731397
BaseRepresentation
bin1000010100011…
…0001001101001
32102122121120000
42011012021221
532412442340
63243453213
7602364060
oct205061151
972577500
1034890345
11187706a6
12b827209
1372c7b99
1448c31d7
1530e2d30
hex2146269

34890345 has 80 divisors (see below), whose sum is σ = 73970688. Its totient is φ = 15396480.

The previous prime is 34890343. The next prime is 34890367. The reversal of 34890345 is 54309843.

It is not a de Polignac number, because 34890345 - 21 = 34890343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34890343) 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, 87687 + ... + 88083.

Almost surely, 234890345 is an apocalyptic number.

34890345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34890345 is an abundant number, since it is smaller than the sum of its proper divisors (39080343).

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

34890345 is a wasteful number, since it uses less digits than its factorization.

34890345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34890345 is about 5906.8049739263. The cubic root of 34890345 is about 326.7646652853.

The spelling of 34890345 in words is "thirty-four million, eight hundred ninety thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 81 93 105 135 155 189 217 279 315 397 405 465 567 651 837 945 1085 1191 1395 1953 1985 2511 2779 2835 3255 3573 4185 5859 5955 8337 9765 10719 12307 12555 13895 17577 17865 25011 29295 32157 36921 41685 53595 61535 75033 86149 87885 110763 125055 160785 184605 225099 258447 332289 375165 430745 553815 775341 996867 1125495 1292235 1661445 2326023 3876705 4984335 6978069 11630115 34890345