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2914380 = 223457257
BaseRepresentation
bin1011000111100001001100
312111001210000
423013201030
51221230010
6142244300
733525510
oct13074114
95431700
102914380
111710687
12b86690
137b06b1
1455c140
153c87c0
hex2c784c

2914380 has 120 divisors (see below), whose sum is σ = 10489248. Its totient is φ = 663552.

The previous prime is 2914369. The next prime is 2914393. The reversal of 2914380 is 834192.

It is a super-2 number, since 2×29143802 = 16987221568800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11212 + ... + 11468.

22914380 is an apocalyptic number.

2914380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2914380 is the 1080-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2914380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244624).

2914380 is an abundant number, since it is smaller than the sum of its proper divisors (7574868).

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

2914380 is a wasteful number, since it uses less digits than its factorization.

2914380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2914380 is about 1707.1555289428. The cubic root of 2914380 is about 142.8396330920.

The spelling of 2914380 in words is "two million, nine hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 257 270 315 324 378 405 420 514 540 567 630 756 771 810 945 1028 1134 1260 1285 1542 1620 1799 1890 2268 2313 2570 2835 3084 3598 3780 3855 4626 5140 5397 5670 6939 7196 7710 8995 9252 10794 11340 11565 13878 15420 16191 17990 20817 21588 23130 26985 27756 32382 34695 35980 41634 46260 48573 53970 64764 69390 80955 83268 97146 104085 107940 138780 145719 161910 194292 208170 242865 291438 323820 416340 485730 582876 728595 971460 1457190 2914380