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3329405 = 541109149
BaseRepresentation
bin1100101100110101111101
320021011002022
430230311331
51323020110
6155205525
740204502
oct14546575
96234068
103329405
111974482
1211468a5
138c7581
146294a9
1545b755
hex32cd7d

3329405 has 16 divisors (see below), whose sum is σ = 4158000. Its totient is φ = 2557440.

The previous prime is 3329387. The next prime is 3329423. The reversal of 3329405 is 5049233.

It is an interprime number because it is at equal distance from previous prime (3329387) and next prime (3329423).

It can be written as a sum of positive squares in 8 ways, for example, as 682276 + 2647129 = 826^2 + 1627^2 .

It is not a de Polignac number, because 3329405 - 26 = 3329341 is a prime.

It is a super-2 number, since 2×33294052 = 22169875308050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22271 + ... + 22419.

It is an arithmetic number, because the mean of its divisors is an integer number (259875).

Almost surely, 23329405 is an apocalyptic number.

3329405 is the 1490-th pentagonal number.

It is an amenable number.

3329405 is a deficient number, since it is larger than the sum of its proper divisors (828595).

3329405 is a wasteful number, since it uses less digits than its factorization.

3329405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 3329405 is about 1824.6657228106. The cubic root of 3329405 is about 149.3214536459.

The spelling of 3329405 in words is "three million, three hundred twenty-nine thousand, four hundred five".

Divisors: 1 5 41 109 149 205 545 745 4469 6109 16241 22345 30545 81205 665881 3329405