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3835940 = 2252331269
BaseRepresentation
bin1110101000100000100100
321012212220212
432220200210
51440222230
6214114552
744414333
oct16504044
97185825
103835940
11218aaa9
12134ba58
13a43cb4
1471bd1a
1550b895
hex3a8824

3835940 has 48 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1415040.

The previous prime is 3835939. The next prime is 3835957. The reversal of 3835940 is 495383.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3835897 and 3835906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14126 + ... + 14394.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 23835940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3835940 is an abundant number, since it is smaller than the sum of its proper divisors (4873180).

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

3835940 is a wasteful number, since it uses less digits than its factorization.

3835940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3835940 is about 1958.5555902246. Note that the first 4 decimals coincide. The cubic root of 3835940 is about 156.5394974260.

The spelling of 3835940 in words is "three million, eight hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 269 310 460 538 620 713 1076 1345 1426 2690 2852 3565 5380 6187 7130 8339 12374 14260 16678 24748 30935 33356 41695 61870 83390 123740 166780 191797 383594 767188 958985 1917970 3835940