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3801440 = 255231033
BaseRepresentation
bin1110100000000101100000
321011010121002
432200011200
51433121230
6213251132
744211626
oct16400540
97133532
103801440
112167095
121333aa8
13a31396
1470d516
15501545
hex3a0160

3801440 has 48 divisors (see below), whose sum is σ = 9380448. Its totient is φ = 1453056.

The previous prime is 3801439. The next prime is 3801443. The reversal of 3801440 is 441083.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3164 + ... + 4196.

It is an arithmetic number, because the mean of its divisors is an integer number (195426).

Almost surely, 23801440 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 3801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690224).

3801440 is an abundant number, since it is smaller than the sum of its proper divisors (5579008).

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

3801440 is a wasteful number, since it uses less digits than its factorization.

3801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3801440 is about 1949.7281861839. The cubic root of 3801440 is about 156.0687840436.

The spelling of 3801440 in words is "three million, eight hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1033 1840 2066 3680 4132 5165 8264 10330 16528 20660 23759 33056 41320 47518 82640 95036 118795 165280 190072 237590 380144 475180 760288 950360 1900720 3801440