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3507057 = 34291493
BaseRepresentation
bin1101011000001101110001
320121011210000
431120031301
51344211212
6203100213
741544441
oct15301561
96534700
103507057
111a859a4
121211669
1395a3a8
14674121
154941dc
hex358371

3507057 has 20 divisors (see below), whose sum is σ = 5423220. Its totient is φ = 2255904.

The previous prime is 3507043. The next prime is 3507059. The reversal of 3507057 is 7507053.

3507057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 998001 = 1584^2 + 999^2 .

It is not a de Polignac number, because 3507057 - 24 = 3507041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

3507057 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3507057.

It is not an unprimeable number, because it can be changed into a prime (3507059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1603 + ... + 3095.

It is an arithmetic number, because the mean of its divisors is an integer number (271161).

Almost surely, 23507057 is an apocalyptic number.

It is an amenable number.

3507057 is a deficient number, since it is larger than the sum of its proper divisors (1916163).

3507057 is a wasteful number, since it uses less digits than its factorization.

3507057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 3507057 is about 1872.7138062181. The cubic root of 3507057 is about 151.9314239367.

The spelling of 3507057 in words is "three million, five hundred seven thousand, fifty-seven".

Divisors: 1 3 9 27 29 81 87 261 783 1493 2349 4479 13437 40311 43297 120933 129891 389673 1169019 3507057