Search a number
-
+
3395973 = 37237989
BaseRepresentation
bin1100111101000110000101
320101112101210
430331012011
51332132343
6200442033
740602540
oct14750605
96345353
103395973
111a0a499
121179319
1391b969
14645857
15471333
hex33d185

3395973 has 32 divisors (see below), whose sum is σ = 5529600. Its totient is φ = 1812096.

The previous prime is 3395969. The next prime is 3395983. The reversal of 3395973 is 3795933.

It is a happy number.

3395973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3395973 - 22 = 3395969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395963) 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 31 ways as a sum of consecutive naturals, for example, 38113 + ... + 38201.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 23395973 is an apocalyptic number.

It is an amenable number.

3395973 is a deficient number, since it is larger than the sum of its proper divisors (2133627).

3395973 is a wasteful number, since it uses less digits than its factorization.

3395973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201.

The product of its digits is 76545, while the sum is 39.

The square root of 3395973 is about 1842.8165942383. The cubic root of 3395973 is about 150.3100697146.

The spelling of 3395973 in words is "three million, three hundred ninety-five thousand, nine hundred seventy-three".

Divisors: 1 3 7 21 23 69 79 89 161 237 267 483 553 623 1659 1817 1869 2047 5451 6141 7031 12719 14329 21093 38157 42987 49217 147651 161713 485139 1131991 3395973