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3740416 = 2819769
BaseRepresentation
bin1110010001001100000000
321001000212221
432101030000
51424143131
6212100424
743536001
oct16211400
97030787
103740416
112125259
121304714
13a0c684
146d51a8
154dd411
hex391300

3740416 has 36 divisors (see below), whose sum is σ = 7869400. Its totient is φ = 1769472.

The previous prime is 3740393. The next prime is 3740419. The reversal of 3740416 is 6140473.

It is not an unprimeable number, because it can be changed into a prime (3740419) 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 3 ways as a sum of consecutive naturals, for example, 4480 + ... + 5248.

Almost surely, 23740416 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 3740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934700).

3740416 is an abundant number, since it is smaller than the sum of its proper divisors (4128984).

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

3740416 is an equidigital number, since it uses as much as digits as its factorization.

3740416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3740416 is about 1934.0155118302. The cubic root of 3740416 is about 155.2291580884.

Adding to 3740416 its reverse (6140473), we get a palindrome (9880889).

The spelling of 3740416 in words is "three million, seven hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 769 1216 1538 2432 3076 4864 6152 12304 14611 24608 29222 49216 58444 98432 116888 196864 233776 467552 935104 1870208 3740416