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2047344 = 2431317193
BaseRepresentation
bin111110011110101110000
310212000102120
413303311300
51011003334
6111514240
723254635
oct7636560
93760376
102047344
111179222
12828980
13568b60
143b418c
152a6949
hex1f3d70

2047344 has 80 divisors (see below), whose sum is σ = 6062112. Its totient is φ = 589824.

The previous prime is 2047303. The next prime is 2047349. The reversal of 2047344 is 4437402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10512 + ... + 10704.

22047344 is an apocalyptic number.

2047344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031056).

2047344 is an abundant number, since it is smaller than the sum of its proper divisors (4014768).

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

2047344 is a wasteful number, since it uses less digits than its factorization.

2047344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 2047344 is about 1430.8542902756. The cubic root of 2047344 is about 126.9785236588.

It can be divided in two parts, 204 and 7344, that multiplied together give a square (1498176 = 12242).

The spelling of 2047344 in words is "two million, forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 193 204 208 221 272 312 386 408 442 579 624 663 772 816 884 1158 1326 1544 1768 2316 2509 2652 3088 3281 3536 4632 5018 5304 6562 7527 9264 9843 10036 10608 13124 15054 19686 20072 26248 30108 39372 40144 42653 52496 60216 78744 85306 120432 127959 157488 170612 255918 341224 511836 682448 1023672 2047344