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3305130 = 235292131
BaseRepresentation
bin1100100110111010101010
320012220210020
430212322222
51321231010
6154501310
740043643
oct14467252
96186706
103305130
111958214
121134836
138b94ca
146206ca
15454470
hex326eaa

3305130 has 48 divisors (see below), whose sum is σ = 8277984. Its totient is φ = 844480.

The previous prime is 3305119. The next prime is 3305147. The reversal of 3305130 is 315033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25165 + ... + 25295.

It is an arithmetic number, because the mean of its divisors is an integer number (172458).

Almost surely, 23305130 is an apocalyptic number.

3305130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138992).

3305130 is an abundant number, since it is smaller than the sum of its proper divisors (4972854).

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

3305130 is a wasteful number, since it uses less digits than its factorization.

3305130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 3305130 is about 1818.0016501643. The cubic root of 3305130 is about 148.9576625504.

It can be divided in two parts, 330 and 5130, that added together give a triangular number (5460 = T104).

The spelling of 3305130 in words is "three million, three hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 131 145 174 262 290 393 435 655 786 841 870 1310 1682 1965 2523 3799 3930 4205 5046 7598 8410 11397 12615 18995 22794 25230 37990 56985 110171 113970 220342 330513 550855 661026 1101710 1652565 3305130