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3332385 = 325771149
BaseRepresentation
bin1100101101100100100001
320021022011200
430231210201
51323114020
6155231413
740216260
oct14554441
96238150
103332385
111976741
121148569
138c8a34
1462a5d7
1545c590
hex32d921

3332385 has 48 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 1491840.

The previous prime is 3332383. The next prime is 3332387. The reversal of 3332385 is 5832333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3332383) and next prime (3332387).

It is not a de Polignac number, because 3332385 - 21 = 3332383 is a prime.

It is a super-2 number, since 2×33323852 = 22209579576450, which contains 22 as substring.

It is a Curzon number.

3332385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3332383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22291 + ... + 22439.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 23332385 is an apocalyptic number.

3332385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3332385 is an abundant number, since it is smaller than the sum of its proper divisors (3406815).

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

3332385 is a wasteful number, since it uses less digits than its factorization.

3332385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 235 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 3332385 is about 1825.4821280966. The cubic root of 3332385 is about 149.3659906566.

The spelling of 3332385 in words is "three million, three hundred thirty-two thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 149 213 315 355 447 497 639 745 1043 1065 1341 1491 2235 2485 3129 3195 4473 5215 6705 7455 9387 10579 15645 22365 31737 46935 52895 74053 95211 158685 222159 370265 476055 666477 1110795 3332385