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3983376 = 243312677
BaseRepresentation
bin1111001100100000010000
321111101011110
433030200100
52004432001
6221213320
745600225
oct17144020
97441143
103983376
112280851
121401240
13a96137
1475994c
1553a3d6
hex3cc810

3983376 has 40 divisors (see below), whose sum is σ = 10626304. Its totient is φ = 1284480.

The previous prime is 3983341. The next prime is 3983377. The reversal of 3983376 is 6733893.

It is not an unprimeable number, because it can be changed into a prime (3983377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150 + ... + 2826.

Almost surely, 23983376 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 3983376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313152).

3983376 is an abundant number, since it is smaller than the sum of its proper divisors (6642928).

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

3983376 is a wasteful number, since it uses less digits than its factorization.

3983376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2713 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 3983376 is about 1995.8396729196. The cubic root of 3983376 is about 158.5198918866.

The spelling of 3983376 in words is "three million, nine hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 2677 5354 8031 10708 16062 21416 32124 42832 64248 82987 128496 165974 248961 331948 497922 663896 995844 1327792 1991688 3983376