Search a number
-
+
3426080 = 255721923
BaseRepresentation
bin1101000100011100100000
320110001200212
431010130200
51334113310
6201233252
741056400
oct15043440
96401625
103426080
111a30079
121192828
1392c588
14652800
1547a205
hex344720

3426080 has 144 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 1064448.

The previous prime is 3426077. The next prime is 3426091. The reversal of 3426080 is 806243.

3426080 = T280 + T281 + ... + T348.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148949 + ... + 148971.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

Almost surely, 23426080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3426080 is an abundant number, since it is smaller than the sum of its proper divisors (6916000).

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

3426080 is a wasteful number, since it uses less digits than its factorization.

3426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3426080 is about 1850.9673146763. The cubic root of 3426080 is about 150.7529548103.

The spelling of 3426080 in words is "three million, four hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 23 28 32 35 38 40 46 49 56 70 76 80 92 95 98 112 115 133 140 152 160 161 184 190 196 224 230 245 266 280 304 322 368 380 392 437 460 490 532 560 608 644 665 736 760 784 805 874 920 931 980 1064 1120 1127 1288 1330 1520 1568 1610 1748 1840 1862 1960 2128 2185 2254 2576 2660 3040 3059 3220 3496 3680 3724 3920 4256 4370 4508 4655 5152 5320 5635 6118 6440 6992 7448 7840 8740 9016 9310 10640 11270 12236 12880 13984 14896 15295 17480 18032 18620 21280 21413 22540 24472 25760 29792 30590 34960 36064 37240 42826 45080 48944 61180 69920 74480 85652 90160 97888 107065 122360 148960 171304 180320 214130 244720 342608 428260 489440 685216 856520 1713040 3426080