Search a number
-
+
3370328 = 2313231409
BaseRepresentation
bin1100110110110101011000
320100020012222
430312311120
51330322303
6200123212
740435013
oct14666530
96306188
103370328
1119a21a5
121166508
139100a0
1463a37a
15468938
hex336d58

3370328 has 32 divisors (see below), whose sum is σ = 7106400. Its totient is φ = 1486848.

The previous prime is 3370327. The next prime is 3370331. The reversal of 3370328 is 8230733.

It is a super-2 number, since 2×33703282 = 22718221655168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 3370297 and 3370306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1688 + ... + 3096.

It is an arithmetic number, because the mean of its divisors is an integer number (222075).

Almost surely, 23370328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3370328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553200).

3370328 is an abundant number, since it is smaller than the sum of its proper divisors (3736072).

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

3370328 is a wasteful number, since it uses less digits than its factorization.

3370328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3370328 is about 1835.8453093875. The cubic root of 3370328 is about 149.9307532227.

The spelling of 3370328 in words is "three million, three hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1196 1409 2392 2818 5636 11272 18317 32407 36634 64814 73268 129628 146536 259256 421291 842582 1685164 3370328