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3441120 = 253567107
BaseRepresentation
bin1101001000000111100000
320110211022220
431020013200
51340103440
6201431040
741151264
oct15100740
96424286
103441120
111a40401
12119b480
13936387
146580a4
1547e8d0
hex3481e0

3441120 has 96 divisors (see below), whose sum is σ = 11104128. Its totient is φ = 895488.

The previous prime is 3441103. The next prime is 3441121. The reversal of 3441120 is 211443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3441120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441121) 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, 32107 + ... + 32213.

It is an arithmetic number, because the mean of its divisors is an integer number (115668).

Almost surely, 23441120 is an apocalyptic number.

3441120 is a gapful number since it is divisible by the number (30) 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 3441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064).

3441120 is an abundant number, since it is smaller than the sum of its proper divisors (7663008).

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

3441120 is a wasteful number, since it uses less digits than its factorization.

3441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3441120 is about 1855.0256062923. The cubic root of 3441120 is about 150.9732274216.

Adding to 3441120 its reverse (211443), we get a palindrome (3652563).

The spelling of 3441120 in words is "three million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 107 120 134 160 201 214 240 268 321 335 402 428 480 535 536 642 670 804 856 1005 1070 1072 1284 1340 1605 1608 1712 2010 2140 2144 2568 2680 3210 3216 3424 4020 4280 5136 5360 6420 6432 7169 8040 8560 10272 10720 12840 14338 16080 17120 21507 25680 28676 32160 35845 43014 51360 57352 71690 86028 107535 114704 143380 172056 215070 229408 286760 344112 430140 573520 688224 860280 1147040 1720560 3441120