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6374016 = 273211503
BaseRepresentation
bin11000010100001010000000
3102222211111200
4120110022000
53112432031
6344341200
7105115065
oct30241200
912884450
106374016
113663990
122174800
13142230c
14bbcc6c
1585d8e6
hex614280

6374016 has 96 divisors (see below), whose sum is σ = 20049120. Its totient is φ = 1927680.

The previous prime is 6373981. The next prime is 6374021. The reversal of 6374016 is 6104736.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12421 + ... + 12923.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 26374016 is an apocalyptic number.

6374016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

6374016 is an abundant number, since it is smaller than the sum of its proper divisors (13675104).

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

6374016 is a wasteful number, since it uses less digits than its factorization.

6374016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6374016 is about 2524.6813660341. The cubic root of 6374016 is about 185.4119478551.

The spelling of 6374016 in words is "six million, three hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 503 528 576 704 792 1006 1056 1152 1408 1509 1584 2012 2112 3018 3168 4024 4224 4527 5533 6036 6336 8048 9054 11066 12072 12672 16096 16599 18108 22132 24144 32192 33198 36216 44264 48288 49797 64384 66396 72432 88528 96576 99594 132792 144864 177056 193152 199188 265584 289728 354112 398376 531168 579456 708224 796752 1062336 1593504 2124672 3187008 6374016