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3057664 = 2111493
BaseRepresentation
bin1011101010100000000000
312202100022211
423222200000
51240321124
6145311504
734663321
oct13524000
95670284
103057664
1117a92a5
121035594
1383098c
14598448
15405e94
hex2ea800

3057664 has 24 divisors (see below), whose sum is σ = 6117930. Its totient is φ = 1527808.

The previous prime is 3057661. The next prime is 3057701. The reversal of 3057664 is 4667503.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 984064 = 1440^2 + 992^2 .

It is not an unprimeable number, because it can be changed into a prime (3057661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1302 + ... + 2794.

Almost surely, 23057664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058965).

3057664 is an abundant number, since it is smaller than the sum of its proper divisors (3060266).

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

3057664 is an equidigital number, since it uses as much as digits as its factorization.

3057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 3057664 is about 1748.6177398162. The cubic root of 3057664 is about 145.1431641904.

It can be divided in two parts, 3057 and 664, that added together give a square (3721 = 612).

The spelling of 3057664 in words is "three million, fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1493 2048 2986 5972 11944 23888 47776 95552 191104 382208 764416 1528832 3057664