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2740416 = 26372039
BaseRepresentation
bin1010011101000011000000
312011020010220
422131003000
51200143131
6134423040
732202360
oct12350300
95136126
102740416
111601a08
12b01a80
1374c463
145149a0
15391e96
hex29d0c0

2740416 has 56 divisors (see below), whose sum is σ = 8290560. Its totient is φ = 782592.

The previous prime is 2740403. The next prime is 2740421. The reversal of 2740416 is 6140472.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 325 + ... + 2363.

22740416 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 2740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145280).

2740416 is an abundant number, since it is smaller than the sum of its proper divisors (5550144).

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

2740416 is a wasteful number, since it uses less digits than its factorization.

2740416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2740416 is about 1655.4201883510. The cubic root of 2740416 is about 139.9390210627.

Adding to 2740416 its reverse (6140472), we get a palindrome (8880888).

The spelling of 2740416 in words is "two million, seven hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2039 4078 6117 8156 12234 14273 16312 24468 28546 32624 42819 48936 57092 65248 85638 97872 114184 130496 171276 195744 228368 342552 391488 456736 685104 913472 1370208 2740416