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3988368 = 243227697
BaseRepresentation
bin1111001101101110010000
321111122000100
433031232100
52010111433
6221252400
745620616
oct17155620
97448010
103988368
11228457a
121404100
13a984a7
1475b6b6
1553bb13
hex3cdb90

3988368 has 30 divisors (see below), whose sum is σ = 11162294. Its totient is φ = 1329408.

The previous prime is 3988351. The next prime is 3988381. The reversal of 3988368 is 8638893.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 1774224 = 1488^2 + 1332^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13705 + ... + 13992.

Almost surely, 23988368 is an apocalyptic number.

It is an amenable number.

3988368 is an abundant number, since it is smaller than the sum of its proper divisors (7173926).

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

3988368 is a wasteful number, since it uses less digits than its factorization.

3988368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27711 (or 27702 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3988368 is about 1997.0898828045. The cubic root of 3988368 is about 158.5860837268.

It can be divided in two parts, 3988 and 368, that added together give a square (4356 = 662).

The spelling of 3988368 in words is "three million, nine hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27697 55394 83091 110788 166182 221576 249273 332364 443152 498546 664728 997092 1329456 1994184 3988368