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2341248 = 27371367
BaseRepresentation
bin1000111011100110000000
311101221120220
420323212000
51044404443
6122103040
725620540
oct10734600
94357526
102341248
11135a018
1294aa80
1363c870
1444d320
15313a83
hex23b980

2341248 has 128 divisors (see below), whose sum is σ = 7768320. Its totient is φ = 608256.

The previous prime is 2341243. The next prime is 2341271. The reversal of 2341248 is 8421432.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34911 + ... + 34977.

It is an arithmetic number, because the mean of its divisors is an integer number (60690).

22341248 is an apocalyptic number.

2341248 is a gapful number since it is divisible by the number (28) 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 2341248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884160).

2341248 is an abundant number, since it is smaller than the sum of its proper divisors (5427072).

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

2341248 is a wasteful number, since it uses less digits than its factorization.

2341248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2341248 is about 1530.1137212639. The cubic root of 2341248 is about 132.7850372652.

The spelling of 2341248 in words is "two million, three hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 67 78 84 91 96 104 112 128 134 156 168 182 192 201 208 224 268 273 312 336 364 384 402 416 448 469 536 546 624 672 728 804 832 871 896 938 1072 1092 1248 1344 1407 1456 1608 1664 1742 1876 2144 2184 2496 2613 2688 2814 2912 3216 3484 3752 4288 4368 4992 5226 5628 5824 6097 6432 6968 7504 8576 8736 10452 11256 11648 12194 12864 13936 15008 17472 18291 20904 22512 24388 25728 27872 30016 34944 36582 41808 45024 48776 55744 60032 73164 83616 90048 97552 111488 146328 167232 180096 195104 292656 334464 390208 585312 780416 1170624 2341248