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5760345 = 353797107
BaseRepresentation
bin10101111110010101011001
3101211122201010
4111332111121
52433312340
6323244133
766651003
oct25762531
911748633
105760345
113284918
121b19649
131268bb6
14a9d373
1578bb80
hex57e559

5760345 has 32 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 2930688.

The previous prime is 5760343. The next prime is 5760371. The reversal of 5760345 is 5430675.

It is not a de Polignac number, because 5760345 - 21 = 5760343 is a prime.

5760345 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760343) 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, 53782 + ... + 53888.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 25760345 is an apocalyptic number.

It is an amenable number.

5760345 is a deficient number, since it is larger than the sum of its proper divisors (3892263).

5760345 is a wasteful number, since it uses less digits than its factorization.

5760345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 5760345 is about 2400.0718739238. The cubic root of 5760345 is about 179.2597686905.

Subtracting from 5760345 its product of nonzero digits (12600), we obtain a triangular number (5747745 = T3390).

It can be divided in two parts, 5760 and 345, that added together give a triangular number (6105 = T110).

The spelling of 5760345 in words is "five million, seven hundred sixty thousand, three hundred forty-five".

Divisors: 1 3 5 15 37 97 107 111 185 291 321 485 535 555 1455 1605 3589 3959 10379 10767 11877 17945 19795 31137 51895 53835 59385 155685 384023 1152069 1920115 5760345