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3444736 = 212292
BaseRepresentation
bin1101001001000000000000
320111000021211
431021000000
51340212421
6201455504
741164651
oct15110000
96430254
103444736
111a43099
1211a1594
13937c09
14659528
154809e1
hex349000

3444736 has 39 divisors (see below), whose sum is σ = 7134361. Its totient is φ = 1662976.

The previous prime is 3444713. The next prime is 3444739. The reversal of 3444736 is 6374443.

The square root of 3444736 is 1856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 1638400 = 1344^2 + 1280^2 .

It is a super-2 number, since 2×34447362 = 23732412219392, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3444698 and 3444707.

It is not an unprimeable number, because it can be changed into a prime (3444739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 118770 + ... + 118798.

Almost surely, 23444736 is an apocalyptic number.

3444736 is the 1856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444736

3444736 is an abundant number, since it is smaller than the sum of its proper divisors (3689625).

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

3444736 is an frugal number, since it uses more digits than its factorization.

3444736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 31 counting only the distinct ones).

The product of its digits is 24192, while the sum is 31.

The cubic root of 3444736 is about 151.0260908383.

The spelling of 3444736 in words is "three million, four hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 841 928 1024 1682 1856 2048 3364 3712 4096 6728 7424 13456 14848 26912 29696 53824 59392 107648 118784 215296 430592 861184 1722368 3444736