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3400089 = 371141359
BaseRepresentation
bin1100111110000110011001
320101202001020
430332012121
51332300324
6200513053
740620540
oct14760631
96352036
103400089
111a125a0
12117b789
139207b4
14647157
15472679
hex33e199

3400089 has 32 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 1718400.

The previous prime is 3400087. The next prime is 3400091. The reversal of 3400089 is 9800043.

3400089 = T246 + T247 + ... + T327.

It is an interprime number because it is at equal distance from previous prime (3400087) and next prime (3400091).

It is not a de Polignac number, because 3400089 - 21 = 3400087 is a prime.

It is a Curzon number.

3400089 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3400087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9292 + ... + 9650.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 23400089 is an apocalyptic number.

It is an amenable number.

3400089 is a deficient number, since it is larger than the sum of its proper divisors (2405991).

3400089 is a wasteful number, since it uses less digits than its factorization.

3400089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3400089 is about 1843.9330248141. The cubic root of 3400089 is about 150.3707716563.

The spelling of 3400089 in words is "three million, four hundred thousand, eighty-nine".

Divisors: 1 3 7 11 21 33 41 77 123 231 287 359 451 861 1077 1353 2513 3157 3949 7539 9471 11847 14719 27643 44157 82929 103033 161909 309099 485727 1133363 3400089