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2321088 = 263711157
BaseRepresentation
bin1000110110101011000000
311100220221020
420312223000
51043233323
6121425440
725505010
oct10665300
94326836
102321088
111345960
1293b280
13633633
14445c40
1530cae3
hex236ac0

2321088 has 112 divisors (see below), whose sum is σ = 7705344. Its totient is φ = 599040.

The previous prime is 2321087. The next prime is 2321089. The reversal of 2321088 is 8801232.

It is an interprime number because it is at equal distance from previous prime (2321087) and next prime (2321089).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (2321087) 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, 14706 + ... + 14862.

22321088 is an apocalyptic number.

2321088 is a gapful number since it is divisible by the number (28) 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 2321088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852672).

2321088 is an abundant number, since it is smaller than the sum of its proper divisors (5384256).

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

2321088 is a wasteful number, since it uses less digits than its factorization.

2321088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2321088 is about 1523.5117328068. The cubic root of 2321088 is about 132.4028099427.

The spelling of 2321088 in words is "two million, three hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 157 168 176 192 224 231 264 308 314 336 352 448 462 471 528 616 628 672 704 924 942 1056 1099 1232 1256 1344 1727 1848 1884 2112 2198 2464 2512 3297 3454 3696 3768 4396 4928 5024 5181 6594 6908 7392 7536 8792 10048 10362 12089 13188 13816 14784 15072 17584 20724 24178 26376 27632 30144 35168 36267 41448 48356 52752 55264 70336 72534 82896 96712 105504 110528 145068 165792 193424 211008 290136 331584 386848 580272 773696 1160544 2321088