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3454672 = 241317977
BaseRepresentation
bin1101001011011011010000
320111111220211
431023123100
51341022142
6202013504
741235634
oct15133320
96444824
103454672
111a4a601
1211a7294
1393c5b0
1465cdc4
15483917
hex34b6d0

3454672 has 40 divisors (see below), whose sum is σ = 7640136. Its totient is φ = 1499136.

The previous prime is 3454667. The next prime is 3454673. The reversal of 3454672 is 2764543.

3454672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 2322576 = 1064^2 + 1524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454673) 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, 3048 + ... + 4024.

Almost surely, 23454672 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 3454672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820068).

3454672 is an abundant number, since it is smaller than the sum of its proper divisors (4185464).

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

3454672 is a wasteful number, since it uses less digits than its factorization.

3454672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1009 counting only the distinct ones).

The product of its digits is 20160, while the sum is 31.

The square root of 3454672 is about 1858.6747967302. The cubic root of 3454672 is about 151.1711580532.

The spelling of 3454672 in words is "three million, four hundred fifty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 977 1768 1954 3536 3908 7816 12701 15632 16609 25402 33218 50804 66436 101608 132872 203216 215917 265744 431834 863668 1727336 3454672