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3409380 = 22325133147
BaseRepresentation
bin1101000000010111100100
320102012210100
431000113210
51333100010
6201024100
740656612
oct15002744
96365710
103409380
111a19577
121185030
13924ab0
1464a6b2
154752c0
hex3405e4

3409380 has 144 divisors (see below), whose sum is σ = 11741184. Its totient is φ = 794880.

The previous prime is 3409369. The next prime is 3409387. The reversal of 3409380 is 839043.

It is not an unprimeable number, because it can be changed into a prime (3409387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72517 + ... + 72563.

It is an arithmetic number, because the mean of its divisors is an integer number (81536).

Almost surely, 23409380 is an apocalyptic number.

3409380 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 3409380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870592).

3409380 is an abundant number, since it is smaller than the sum of its proper divisors (8331804).

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

3409380 is a wasteful number, since it uses less digits than its factorization.

3409380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3409380 is about 1846.4506492187. The cubic root of 3409380 is about 150.5076135852.

The spelling of 3409380 in words is "three million, four hundred nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 47 52 60 62 65 78 90 93 94 117 124 130 141 155 156 180 186 188 195 234 235 260 279 282 310 372 390 403 423 465 468 470 558 564 585 611 620 705 780 806 846 930 940 1116 1170 1209 1222 1395 1410 1457 1612 1692 1833 1860 2015 2115 2340 2418 2444 2790 2820 2914 3055 3627 3666 4030 4230 4371 4836 5499 5580 5828 6045 6110 7254 7285 7332 8060 8460 8742 9165 10998 12090 12220 13113 14508 14570 17484 18135 18330 18941 21855 21996 24180 26226 27495 29140 36270 36660 37882 43710 52452 54990 56823 65565 72540 75764 87420 94705 109980 113646 131130 170469 189410 227292 262260 284115 340938 378820 568230 681876 852345 1136460 1704690 3409380