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2305872 = 243267239
BaseRepresentation
bin1000110010111101010000
311100011001200
420302331100
51042241442
6121231200
725412442
oct10627520
94304050
102305872
111335488
12932500
1362972a
14440492
1530834c
hex232f50

2305872 has 60 divisors (see below), whose sum is σ = 6576960. Its totient is φ = 753984.

The previous prime is 2305837. The next prime is 2305883. The reversal of 2305872 is 2785032.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9529 + ... + 9767.

It is an arithmetic number, because the mean of its divisors is an integer number (109616).

22305872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288480).

2305872 is an abundant number, since it is smaller than the sum of its proper divisors (4271088).

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

2305872 is a wasteful number, since it uses less digits than its factorization.

2305872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2305872 is about 1518.5097958196. The cubic root of 2305872 is about 132.1128511507.

The spelling of 2305872 in words is "two million, three hundred five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 239 268 402 478 536 603 717 804 956 1072 1206 1434 1608 1912 2151 2412 2868 3216 3824 4302 4824 5736 8604 9648 11472 16013 17208 32026 34416 48039 64052 96078 128104 144117 192156 256208 288234 384312 576468 768624 1152936 2305872