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3978464 = 25717761
BaseRepresentation
bin1111001011010011100000
321111010102112
433023103200
52004302324
6221134452
745550010
oct17132340
97433375
103978464
112278096
1213ba428
13a93b29
14757c40
15538c0e
hex3cb4e0

3978464 has 24 divisors (see below), whose sum is σ = 8952048. Its totient is φ = 1704960.

The previous prime is 3978451. The next prime is 3978473. The reversal of 3978464 is 4648793.

3978464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8657 + ... + 9104.

It is an arithmetic number, because the mean of its divisors is an integer number (373002).

Almost surely, 23978464 is an apocalyptic number.

It is an amenable number.

3978464 is an abundant number, since it is smaller than the sum of its proper divisors (4973584).

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

3978464 is a wasteful number, since it uses less digits than its factorization.

3978464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17778 (or 17770 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 3978464 is about 1994.6087335615. The cubic root of 3978464 is about 158.4547068119.

It can be divided in two parts, 3 and 978464, that multiplied together give a palindrome (2935392).

The spelling of 3978464 in words is "three million, nine hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 17761 35522 71044 124327 142088 248654 284176 497308 568352 994616 1989232 3978464