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3410085 = 35747691
BaseRepresentation
bin1101000000100010100101
320102020202110
431000202211
51333110320
6201031233
740661640
oct15004245
96366673
103410085
111a1a058
121185519
13925203
1464aa57
154755e0
hex3408a5

3410085 has 32 divisors (see below), whose sum is σ = 6377472. Its totient is φ = 1523520.

The previous prime is 3410053. The next prime is 3410089. The reversal of 3410085 is 5800143.

It is not a de Polignac number, because 3410085 - 25 = 3410053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

3410085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410089) 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, 4590 + ... + 5280.

It is an arithmetic number, because the mean of its divisors is an integer number (199296).

Almost surely, 23410085 is an apocalyptic number.

3410085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3410085 is a deficient number, since it is larger than the sum of its proper divisors (2967387).

3410085 is a wasteful number, since it uses less digits than its factorization.

3410085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3410085 is about 1846.6415461589. The cubic root of 3410085 is about 150.5179869820.

The spelling of 3410085 in words is "three million, four hundred ten thousand, eighty-five".

Divisors: 1 3 5 7 15 21 35 47 105 141 235 329 691 705 987 1645 2073 3455 4837 4935 10365 14511 24185 32477 72555 97431 162385 227339 487155 682017 1136695 3410085