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34257780 = 22325190321
BaseRepresentation
bin1000001010101…
…1101101110100
32101110110211200
42002223231310
532232222110
63222132500
7564120624
oct202535564
971413750
1034257780
1118379417
12b581130
137135c9b
14479a884
15301a6c0
hex20abb74

34257780 has 36 divisors (see below), whose sum is σ = 103915812. Its totient is φ = 9135360.

The previous prime is 34257733. The next prime is 34257803. The reversal of 34257780 is 8775243.

34257780 is a `hidden beast` number, since 3 + 4 + 2 + 577 + 80 = 666.

34257780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26440164 + 7817616 = 5142^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94981 + ... + 95340.

Almost surely, 234257780 is an apocalyptic number.

34257780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34257780 is an abundant number, since it is smaller than the sum of its proper divisors (69658032).

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

34257780 is a wasteful number, since it uses less digits than its factorization.

34257780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190336 (or 190331 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 34257780 is about 5853.0146078752. The cubic root of 34257780 is about 324.7778521342. Note that the first 3 decimals are identical.

The spelling of 34257780 in words is "thirty-four million, two hundred fifty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 190321 380642 570963 761284 951605 1141926 1712889 1903210 2283852 2854815 3425778 3806420 5709630 6851556 8564445 11419260 17128890 34257780