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3414075 = 35272929
BaseRepresentation
bin1101000001100000111011
320102110020020
431001200323
51333222300
6201101523
741006400
oct15014073
96373206
103414075
111a22055
1211878a3
13926c82
1464c2a7
154768a0
hex34183b

3414075 has 36 divisors (see below), whose sum is σ = 6573240. Its totient is φ = 1559040.

The previous prime is 3414043. The next prime is 3414077. The reversal of 3414075 is 5704143.

It is not a de Polignac number, because 3414075 - 25 = 3414043 is a prime.

It is a super-3 number, since 3×34140753 (a number of 21 digits) contains 333 as substring.

3414075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3414077) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3211 + ... + 4139.

It is an arithmetic number, because the mean of its divisors is an integer number (182590).

Almost surely, 23414075 is an apocalyptic number.

3414075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3414075 is a deficient number, since it is larger than the sum of its proper divisors (3159165).

3414075 is a wasteful number, since it uses less digits than its factorization.

3414075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3414075 is about 1847.7215699342. The cubic root of 3414075 is about 150.5766690664.

The spelling of 3414075 in words is "three million, four hundred fourteen thousand, seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 929 1225 2787 3675 4645 6503 13935 19509 23225 32515 45521 69675 97545 136563 162575 227605 487725 682815 1138025 3414075