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2302320 = 243553181
BaseRepresentation
bin1000110010000101110000
311022222012010
420302011300
51042133240
6121202520
725366206
oct10620560
94288163
102302320
111332849
12930440
13627c27
1443d076
15307280
hex232170

2302320 has 80 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 599040.

The previous prime is 2302309. The next prime is 2302331. The reversal of 2302320 is 232032.

2302320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2302309) and next prime (2302331).

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2302296 and 2302305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12630 + ... + 12810.

22302320 is an apocalyptic number.

2302320 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 2302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

2302320 is an abundant number, since it is smaller than the sum of its proper divisors (5009712).

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

2302320 is a wasteful number, since it uses less digits than its factorization.

2302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2302320 is about 1517.3397773735. The cubic root of 2302320 is about 132.0449800796.

Adding to 2302320 its reverse (232032), we get a palindrome (2534352).

The spelling of 2302320 in words is "two million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 181 212 240 265 318 362 424 530 543 636 724 795 848 905 1060 1086 1272 1448 1590 1810 2120 2172 2544 2715 2896 3180 3620 4240 4344 5430 6360 7240 8688 9593 10860 12720 14480 19186 21720 28779 38372 43440 47965 57558 76744 95930 115116 143895 153488 191860 230232 287790 383720 460464 575580 767440 1151160 2302320