Search a number
-
+
3332430 = 232561607
BaseRepresentation
bin1100101101100101001110
320021022020100
430231211032
51323114210
6155231530
740216353
oct14554516
96238210
103332430
111976782
1211485a6
138c8a6a
1462a62a
1545c5c0
hex32d94e

3332430 has 48 divisors (see below), whose sum is σ = 8820864. Its totient is φ = 872640.

The previous prime is 3332411. The next prime is 3332431. The reversal of 3332430 is 342333.

It is a super-2 number, since 2×33324302 = 22210179409800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5187 + ... + 5793.

It is an arithmetic number, because the mean of its divisors is an integer number (183768).

Almost surely, 23332430 is an apocalyptic number.

3332430 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 3332430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410432).

3332430 is an abundant number, since it is smaller than the sum of its proper divisors (5488434).

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

3332430 is a wasteful number, since it uses less digits than its factorization.

3332430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3332430 is about 1825.4944535659. The cubic root of 3332430 is about 149.3666629918.

Adding to 3332430 its reverse (342333), we get a palindrome (3674763).

The spelling of 3332430 in words is "three million, three hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 607 610 915 1098 1214 1821 1830 2745 3035 3642 5463 5490 6070 9105 10926 18210 27315 37027 54630 74054 111081 185135 222162 333243 370270 555405 666486 1110810 1666215 3332430