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3350672 = 241389181
BaseRepresentation
bin1100110010000010010000
320022020020222
430302002100
51324210142
6155452212
740323503
oct14620220
96266228
103350672
111989456
121157068
13904160
1463313a
15462bd2
hex332090

3350672 has 40 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 1520640.

The previous prime is 3350657. The next prime is 3350681. The reversal of 3350672 is 2760533.

It can be written as a sum of positive squares in 4 ways, for example, as 309136 + 3041536 = 556^2 + 1744^2 .

It is a super-2 number, since 2×33506722 = 22454005703168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18422 + ... + 18602.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 23350672 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 3350672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

3350672 is an abundant number, since it is smaller than the sum of its proper divisors (3758248).

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

3350672 is a wasteful number, since it uses less digits than its factorization.

3350672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 3350672 is about 1830.4840889776. The cubic root of 3350672 is about 149.6387157082.

It can be divided in two parts, 33 and 50672, that added together give a palindrome (50705).

The spelling of 3350672 in words is "three million, three hundred fifty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 181 208 356 362 712 724 1157 1424 1448 2314 2353 2896 4628 4706 9256 9412 16109 18512 18824 32218 37648 64436 128872 209417 257744 418834 837668 1675336 3350672