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2294320 = 245717241
BaseRepresentation
bin1000110000001000110000
311022120012211
420300020300
51041404240
6121101504
725333660
oct10601060
94276184
102294320
111327836
12927894
136243b2
1443a1a0
15304bea
hex230230

2294320 has 80 divisors (see below), whose sum is σ = 6481728. Its totient is φ = 737280.

The previous prime is 2294311. The next prime is 2294321. The reversal of 2294320 is 234922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2294291 and 2294300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2294321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9400 + ... + 9640.

22294320 is an apocalyptic number.

2294320 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 2294320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240864).

2294320 is an abundant number, since it is smaller than the sum of its proper divisors (4187408).

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

2294320 is a wasteful number, since it uses less digits than its factorization.

2294320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2294320 is about 1514.7012906841. The cubic root of 2294320 is about 131.8918612344.

The spelling of 2294320 in words is "two million, two hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 241 272 280 340 476 482 560 595 680 952 964 1190 1205 1360 1687 1904 1928 2380 2410 3374 3856 4097 4760 4820 6748 8194 8435 9520 9640 13496 16388 16870 19280 20485 26992 28679 32776 33740 40970 57358 65552 67480 81940 114716 134960 143395 163880 229432 286790 327760 458864 573580 1147160 2294320