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2684416 = 2972107
BaseRepresentation
bin1010001111011000000000
312001101022211
422033120000
51141400131
6133311504
731550200
oct12173000
95041284
102684416
111573929
12a95594
1372cb17
144dc400
153805b1
hex28f600

2684416 has 60 divisors (see below), whose sum is σ = 6297588. Its totient is φ = 1139712.

The previous prime is 2684401. The next prime is 2684431. The reversal of 2684416 is 6144862.

It is an interprime number because it is at equal distance from previous prime (2684401) and next prime (2684431).

It is a super-2 number, since 2×26844162 = 14412178522112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25035 + ... + 25141.

22684416 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 2684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148794).

2684416 is an abundant number, since it is smaller than the sum of its proper divisors (3613172).

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

2684416 is an equidigital number, since it uses as much as digits as its factorization.

2684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 2684416 is about 1638.4187498927. The cubic root of 2684416 is about 138.9792422810.

The spelling of 2684416 in words is "two million, six hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 107 112 128 196 214 224 256 392 428 448 512 749 784 856 896 1498 1568 1712 1792 2996 3136 3424 3584 5243 5992 6272 6848 10486 11984 12544 13696 20972 23968 25088 27392 41944 47936 54784 83888 95872 167776 191744 335552 383488 671104 1342208 2684416