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3974016 = 27379131
BaseRepresentation
bin1111001010001110000000
321110220022210
433022032000
52004132031
6221102120
745531024
oct17121600
97426283
103974016
112274812
1213b7940
13a91ab7
14756384
15537746
hex3ca380

3974016 has 64 divisors (see below), whose sum is σ = 10771200. Its totient is φ = 1297920.

The previous prime is 3973997. The next prime is 3974023. The reversal of 3974016 is 6104793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30271 + ... + 30401.

It is an arithmetic number, because the mean of its divisors is an integer number (168300).

Almost surely, 23974016 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 3974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385600).

3974016 is an abundant number, since it is smaller than the sum of its proper divisors (6797184).

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

3974016 is a wasteful number, since it uses less digits than its factorization.

3974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3974016 is about 1993.4934160915. The cubic root of 3974016 is about 158.3956329783.

The spelling of 3974016 in words is "three million, nine hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 131 158 192 237 262 316 384 393 474 524 632 786 948 1048 1264 1572 1896 2096 2528 3144 3792 4192 5056 6288 7584 8384 10112 10349 12576 15168 16768 20698 25152 30336 31047 41396 50304 62094 82792 124188 165584 248376 331168 496752 662336 993504 1324672 1987008 3974016