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4006340 = 2251319811
BaseRepresentation
bin1111010010000111000100
321112112122222
433102013010
52011200330
6221511512
746024202
oct17220704
97475588
104006340
112297028
121412598
13aa3720
14764072
155420e5
hex3d21c4

4006340 has 48 divisors (see below), whose sum is σ = 9549120. Its totient is φ = 1399680.

The previous prime is 4006337. The next prime is 4006349. The reversal of 4006340 is 436004.

It is not an unprimeable number, because it can be changed into a prime (4006349) 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, 4535 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (198940).

Almost surely, 24006340 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 4006340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774560).

4006340 is an abundant number, since it is smaller than the sum of its proper divisors (5542780).

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

4006340 is a wasteful number, since it uses less digits than its factorization.

4006340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4006340 is about 2001.5843724410. The cubic root of 4006340 is about 158.8239286146.

The spelling of 4006340 in words is "four million, six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 811 988 1235 1622 2470 3244 4055 4940 8110 10543 15409 16220 21086 30818 42172 52715 61636 77045 105430 154090 200317 210860 308180 400634 801268 1001585 2003170 4006340