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3898440 = 23325721317
BaseRepresentation
bin1110110111110001001000
321100001122200
432313301020
51444222230
6215320200
745064500
oct16676110
97301580
103898440
112222a57
121380060
13a66590
14736a00
15520160
hex3b7c48

3898440 has 288 divisors, whose sum is σ = 16805880. Its totient is φ = 774144.

The previous prime is 3898421. The next prime is 3898451. The reversal of 3898440 is 448983.

3898440 = T14 + T15 + ... + T285.

It can be written as a sum of positive squares in 4 ways, for example, as 2965284 + 933156 = 1722^2 + 966^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3898395 and 3898404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229312 + ... + 229328.

Almost surely, 23898440 is an apocalyptic number.

3898440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3898440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

3898440 is an abundant number, since it is smaller than the sum of its proper divisors (12907440).

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

3898440 is a wasteful number, since it uses less digits than its factorization.

3898440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3898440 is about 1974.4467579553. The cubic root of 3898440 is about 157.3851013853.

The spelling of 3898440 in words is "three million, eight hundred ninety-eight thousand, four hundred forty".