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2320272 = 243341131
BaseRepresentation
bin1000110110011110010000
311100212211000
420312132100
51043222042
6121422000
725502433
oct10663620
94325730
102320272
111345289
1293a900
13633156
1444581a
1530c74c
hex236790

2320272 has 80 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 748800.

The previous prime is 2320259. The next prime is 2320291. The reversal of 2320272 is 2720232.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 17647 + ... + 17777.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

22320272 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 2320272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2320272 is an abundant number, since it is smaller than the sum of its proper divisors (4554288).

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

2320272 is a wasteful number, since it uses less digits than its factorization.

2320272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2320272 is about 1523.2439069302. The cubic root of 2320272 is about 132.3872923124.

The spelling of 2320272 in words is "two million, three hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 131 144 164 216 246 262 328 369 393 432 492 524 656 738 786 984 1048 1107 1179 1476 1572 1968 2096 2214 2358 2952 3144 3537 4428 4716 5371 5904 6288 7074 8856 9432 10742 14148 16113 17712 18864 21484 28296 32226 42968 48339 56592 64452 85936 96678 128904 145017 193356 257808 290034 386712 580068 773424 1160136 2320272