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3332997 = 323710009
BaseRepresentation
bin1100101101101110000101
320021100000100
430231232011
51323123442
6155234313
740221123
oct14555605
96240010
103332997
111977148
121148999
138c90b5
1462a913
1545c84c
hex32db85

3332997 has 12 divisors (see below), whose sum is σ = 4944940. Its totient is φ = 2161728.

The previous prime is 3332983. The next prime is 3333007. The reversal of 3332997 is 7992333.

It can be divided in two parts, 333 and 2997, that multiplied together give a square (998001 = 9992).

It can be written as a sum of positive squares in 2 ways, for example, as 3207681 + 125316 = 1791^2 + 354^2 .

It is not a de Polignac number, because 3332997 - 26 = 3332933 is a prime.

It is a super-2 number, since 2×33329972 = 22217738004018, which contains 22 as substring.

It is a Duffinian number.

3332997 is a modest number, since divided by 2997 gives 333 as remainder.

3332997 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4672 + ... + 5337.

Almost surely, 23332997 is an apocalyptic number.

3332997 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3332997 is a deficient number, since it is larger than the sum of its proper divisors (1611943).

3332997 is a wasteful number, since it uses less digits than its factorization.

3332997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10052 (or 10049 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 3332997 is about 1825.6497473502. The cubic root of 3332997 is about 149.3751338969.

The spelling of 3332997 in words is "three million, three hundred thirty-two thousand, nine hundred ninety-seven".

Divisors: 1 3 9 37 111 333 10009 30027 90081 370333 1110999 3332997