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3819140 = 2251337397
BaseRepresentation
bin1110100100011010000100
321012000212122
432210122010
51434203030
6213505112
744314343
oct16443204
97160778
103819140
112179416
121342198
13a39460
14715b5a
155068e5
hex3a4684

3819140 has 48 divisors (see below), whose sum is σ = 8892912. Its totient is φ = 1368576.

The previous prime is 3819139. The next prime is 3819143. The reversal of 3819140 is 419183.

It can be written as a sum of positive squares in 8 ways, for example, as 8836 + 3810304 = 94^2 + 1952^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3819143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9422 + ... + 9818.

It is an arithmetic number, because the mean of its divisors is an integer number (185269).

Almost surely, 23819140 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 3819140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446456).

3819140 is an abundant number, since it is smaller than the sum of its proper divisors (5073772).

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

3819140 is a wasteful number, since it uses less digits than its factorization.

3819140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 3819140 is about 1954.2620090459. The cubic root of 3819140 is about 156.3106346003.

The spelling of 3819140 in words is "three million, eight hundred nineteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 397 481 740 794 962 1588 1924 1985 2405 3970 4810 5161 7940 9620 10322 14689 20644 25805 29378 51610 58756 73445 103220 146890 190957 293780 381914 763828 954785 1909570 3819140