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3940416 = 26326841
BaseRepresentation
bin1111000010000001000000
321102012020100
433002001000
52002043131
6220242400
745331044
oct17020100
97365210
103940416
112251547
1213a0400
13a7c70c
14748024
1552c7e6
hex3c2040

3940416 has 42 divisors (see below), whose sum is σ = 11296142. Its totient is φ = 1313280.

The previous prime is 3940411. The next prime is 3940427. The reversal of 3940416 is 6140493.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 254016 = 1920^2 + 504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3940416.

It is not an unprimeable number, because it can be changed into a prime (3940411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2845 + ... + 3996.

Almost surely, 23940416 is an apocalyptic number.

3940416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3940416 is an abundant number, since it is smaller than the sum of its proper divisors (7355726).

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

3940416 is a wasteful number, since it uses less digits than its factorization.

3940416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3940416 is about 1985.0481102482. The cubic root of 3940416 is about 157.9479612847.

It can be divided in two parts, 3940 and 416, that added together give a square (4356 = 662).

The spelling of 3940416 in words is "three million, nine hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 6841 13682 20523 27364 41046 54728 61569 82092 109456 123138 164184 218912 246276 328368 437824 492552 656736 985104 1313472 1970208 3940416