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2077344 = 25327213
BaseRepresentation
bin111111011001010100000
310220112120200
413323022200
51012433334
6112305200
723441253
oct7731240
93815520
102077344
111199815
12842200
135796c9
143c109a
152b0799
hex1fb2a0

2077344 has 36 divisors (see below), whose sum is σ = 5908266. Its totient is φ = 692352.

The previous prime is 2077343. The next prime is 2077351. The reversal of 2077344 is 4437702.

It can be written as a sum of positive squares in only one way, i.e., 1468944 + 608400 = 1212^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2077343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3319 + ... + 3894.

22077344 is an apocalyptic number.

2077344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2077344 is an abundant number, since it is smaller than the sum of its proper divisors (3830922).

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

2077344 is a wasteful number, since it uses less digits than its factorization.

2077344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2077344 is about 1441.2994137236. The cubic root of 2077344 is about 127.5957297209.

The spelling of 2077344 in words is "two million, seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7213 14426 21639 28852 43278 57704 64917 86556 115408 129834 173112 230816 259668 346224 519336 692448 1038672 2077344