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3395104 = 2517792
BaseRepresentation
bin1100111100111000100000
320101111012121
430330320200
51332120404
6200434024
740600156
oct14747040
96344177
103395104
111a09879
121178914
1391b44b
146453d6
15470e54
hex33ce20

3395104 has 36 divisors (see below), whose sum is σ = 7168014. Its totient is φ = 1577472.

The previous prime is 3395101. The next prime is 3395107. The reversal of 3395104 is 4015933.

3395104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3395101) and next prime (3395107).

It can be written as a sum of positive squares in only one way, i.e., 2496400 + 898704 = 1580^2 + 948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42937 + ... + 43015.

Almost surely, 23395104 is an apocalyptic number.

3395104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584007).

3395104 is an abundant number, since it is smaller than the sum of its proper divisors (3772910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3395104 is an equidigital number, since it uses as much as digits as its factorization.

3395104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 3395104 is about 1842.5807987711. The cubic root of 3395104 is about 150.2972476070.

The spelling of 3395104 in words is "three million, three hundred ninety-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 79 136 158 272 316 544 632 1264 1343 2528 2686 5372 6241 10744 12482 21488 24964 42976 49928 99856 106097 199712 212194 424388 848776 1697552 3395104