Search a number
-
+
3149400 = 2335229181
BaseRepresentation
bin1100000000111001011000
312221000011110
430000321120
51301240100
6151300320
735524632
oct14007130
95830143
103149400
111861211
12107a6a0
13863667
145bda52
15423250
hex300e58

3149400 has 96 divisors (see below), whose sum is σ = 10155600. Its totient is φ = 806400.

The previous prime is 3149387. The next prime is 3149441. The reversal of 3149400 is 49413.

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, 17310 + ... + 17490.

Almost surely, 23149400 is an apocalyptic number.

3149400 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 3149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077800).

3149400 is an abundant number, since it is smaller than the sum of its proper divisors (7006200).

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

3149400 is a wasteful number, since it uses less digits than its factorization.

3149400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3149400 is about 1774.6548960291. The cubic root of 3149400 is about 146.5804130130.

The spelling of 3149400 in words is "three million, one hundred forty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 181 200 232 290 300 348 362 435 543 580 600 696 724 725 870 905 1086 1160 1448 1450 1740 1810 2172 2175 2715 2900 3480 3620 4344 4350 4525 5249 5430 5800 7240 8700 9050 10498 10860 13575 15747 17400 18100 20996 21720 26245 27150 31494 36200 41992 52490 54300 62988 78735 104980 108600 125976 131225 157470 209960 262450 314940 393675 524900 629880 787350 1049800 1574700 3149400