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2074416 = 243231879
BaseRepresentation
bin111111010011100110000
310220101120020
413322130300
51012340131
6112243440
723426601
oct7723460
93811506
102074416
1111975a3
12840580
13578286
143bdda8
152ae996
hex1fa730

2074416 has 40 divisors (see below), whose sum is σ = 5594880. Its totient is φ = 661056.

The previous prime is 2074411. The next prime is 2074417. The reversal of 2074416 is 6144702.

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

It is not an unprimeable number, because it can be changed into a prime (2074411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (139872).

22074416 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 2074416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797440).

2074416 is an abundant number, since it is smaller than the sum of its proper divisors (3520464).

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

2074416 is a wasteful number, since it uses less digits than its factorization.

2074416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1907 counting only the distinct ones).

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

The square root of 2074416 is about 1440.2833054646. The cubic root of 2074416 is about 127.5357531413.

The spelling of 2074416 in words is "two million, seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1879 3758 5637 7516 11274 15032 22548 30064 43217 45096 86434 90192 129651 172868 259302 345736 518604 691472 1037208 2074416