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3344280 = 233529312
BaseRepresentation
bin1100110000011110011000
320021220111020
430300132120
51324004110
6155402440
740266042
oct14603630
96256436
103344280
111984675
121153420
13901284
14630a92
15460d70
hex330798

3344280 has 96 divisors (see below), whose sum is σ = 10724400. Its totient is φ = 833280.

The previous prime is 3344279. The next prime is 3344287. The reversal of 3344280 is 824433.

It is a super-2 number, since 2×33442802 = 22368417436800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3344280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107865 + ... + 107895.

Almost surely, 23344280 is an apocalyptic number.

3344280 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 3344280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362200).

3344280 is an abundant number, since it is smaller than the sum of its proper divisors (7380120).

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

3344280 is a wasteful number, since it uses less digits than its factorization.

3344280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3344280 is about 1828.7372692653. The cubic root of 3344280 is about 149.5435010228.

The spelling of 3344280 in words is "three million, three hundred forty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 31 40 58 60 62 87 93 116 120 124 145 155 174 186 232 248 290 310 348 372 435 465 580 620 696 744 870 899 930 961 1160 1240 1740 1798 1860 1922 2697 2883 3480 3596 3720 3844 4495 4805 5394 5766 7192 7688 8990 9610 10788 11532 13485 14415 17980 19220 21576 23064 26970 27869 28830 35960 38440 53940 55738 57660 83607 107880 111476 115320 139345 167214 222952 278690 334428 418035 557380 668856 836070 1114760 1672140 3344280