Search a number
-
+
2296320 = 29351323
BaseRepresentation
bin1000110000101000000000
311022122221220
420300220000
51041440240
6121115040
725342545
oct10605000
94278856
102296320
111329294
12928a80
13625290
1443abcc
153055d0
hex230a00

2296320 has 160 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 540672.

The previous prime is 2296277. The next prime is 2296351. The reversal of 2296320 is 236922.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99829 + ... + 99851.

22296320 is an apocalyptic number.

2296320 is a gapful number since it is divisible by the number (20) 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 2296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

2296320 is an abundant number, since it is smaller than the sum of its proper divisors (5953152).

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

2296320 is a wasteful number, since it uses less digits than its factorization.

2296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2296320 is about 1515.3613430466. The cubic root of 2296320 is about 131.9301742728.

The spelling of 2296320 in words is "two million, two hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 32 39 40 46 48 52 60 64 65 69 78 80 92 96 104 115 120 128 130 138 156 160 184 192 195 208 230 240 256 260 276 299 312 320 345 368 384 390 416 460 480 512 520 552 598 624 640 690 736 768 780 832 897 920 960 1040 1104 1196 1248 1280 1380 1472 1495 1536 1560 1664 1794 1840 1920 2080 2208 2392 2496 2560 2760 2944 2990 3120 3328 3588 3680 3840 4160 4416 4485 4784 4992 5520 5888 5980 6240 6656 7176 7360 7680 8320 8832 8970 9568 9984 11040 11776 11960 12480 14352 14720 16640 17664 17940 19136 19968 22080 23920 24960 28704 29440 33280 35328 35880 38272 44160 47840 49920 57408 58880 71760 76544 88320 95680 99840 114816 143520 153088 176640 191360 229632 287040 382720 459264 574080 765440 1148160 2296320