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3487293 = 35113127
BaseRepresentation
bin1101010011011000111101
320120011200000
431103120331
51343043133
6202424513
741433015
oct15233075
96504600
103487293
111a72067
121202139
139513b4
1466ac45
1548d413
hex35363d

3487293 has 24 divisors (see below), whose sum is σ = 5311488. Its totient is φ = 2286144.

The previous prime is 3487291. The next prime is 3487301. The reversal of 3487293 is 3927843.

It is not a de Polignac number, because 3487293 - 21 = 3487291 is a prime.

It is a super-3 number, since 3×34872933 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3487291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27396 + ... + 27522.

It is an arithmetic number, because the mean of its divisors is an integer number (221312).

Almost surely, 23487293 is an apocalyptic number.

It is an amenable number.

3487293 is a deficient number, since it is larger than the sum of its proper divisors (1824195).

3487293 is a wasteful number, since it uses less digits than its factorization.

3487293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3487293 is about 1867.4295167422. The cubic root of 3487293 is about 151.6454832280.

The spelling of 3487293 in words is "three million, four hundred eighty-seven thousand, two hundred ninety-three".

Divisors: 1 3 9 27 81 113 127 243 339 381 1017 1143 3051 3429 9153 10287 14351 27459 30861 43053 129159 387477 1162431 3487293