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3377129 = 72413
BaseRepresentation
bin1100111000011111101001
320100120112212
430320133221
51331032004
6200214505
740463600
oct14703751
96316485
103377129
1119a7318
12116a435
13913202
1463ca37
1546a96e
hex3387e9

3377129 has 12 divisors (see below), whose sum is σ = 4026708. Its totient is φ = 2824080.

The previous prime is 3377119. The next prime is 3377141. The reversal of 3377129 is 9217733.

3377129 = T212 + T213 + ... + T309.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 648025 + 2729104 = 805^2 + 1652^2 .

It is not a de Polignac number, because 3377129 - 216 = 3311593 is a prime.

It is a super-2 number, since 2×33771292 = 22810000565282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3377095 and 3377104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3377119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82349 + ... + 82389.

It is an arithmetic number, because the mean of its divisors is an integer number (335559).

Almost surely, 23377129 is an apocalyptic number.

It is an amenable number.

3377129 is a deficient number, since it is larger than the sum of its proper divisors (649579).

3377129 is an frugal number, since it uses more digits than its factorization.

3377129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 48 counting only the distinct ones).

The product of its digits is 7938, while the sum is 32.

The square root of 3377129 is about 1837.6966561432. The cubic root of 3377129 is about 150.0315341109.

The spelling of 3377129 in words is "three million, three hundred seventy-seven thousand, one hundred twenty-nine".

Divisors: 1 7 41 49 287 1681 2009 11767 68921 82369 482447 3377129