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3489376 = 251123431
BaseRepresentation
bin1101010011111001100000
320120021112011
431103321200
51343130001
6202442304
741442052
oct15237140
96507464
103489376
111a73690
121203394
13952327
1466b8d2
1548dd51
hex353e60

3489376 has 48 divisors (see below), whose sum is σ = 7838208. Its totient is φ = 1513600.

The previous prime is 3489373. The next prime is 3489389. The reversal of 3489376 is 6739843.

3489376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 37 + 410 + 87 + 9 + 311 + 76 + 66 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3489371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7881 + ... + 8311.

It is an arithmetic number, because the mean of its divisors is an integer number (163296).

Almost surely, 23489376 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 3489376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104).

3489376 is an abundant number, since it is smaller than the sum of its proper divisors (4348832).

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

3489376 is a wasteful number, since it uses less digits than its factorization.

3489376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 3489376 is about 1867.9871519901. The cubic root of 3489376 is about 151.6756704124.

It can be divided in two parts, 34893 and 76, that added together give a square (34969 = 1872).

The spelling of 3489376 in words is "three million, four hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 431 506 736 862 1012 1724 2024 3448 4048 4741 6896 8096 9482 9913 13792 18964 19826 37928 39652 75856 79304 109043 151712 158608 218086 317216 436172 872344 1744688 3489376