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2333380 = 225722381
BaseRepresentation
bin1000111001101011000100
311101112210111
420321223010
51044132010
6122002404
725555600
oct10715304
94345714
102333380
111354115
12946404
136390ca
1444a500
1531158a
hex239ac4

2333380 has 36 divisors (see below), whose sum is σ = 5702508. Its totient is φ = 799680.

The previous prime is 2333377. The next prime is 2333381. The reversal of 2333380 is 833332.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 2079364 = 504^2 + 1442^2 .

It is a d-powerful number, because it can be written as 25 + 310 + 310 + 310 + 310 + 87 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2333381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 2170.

It is an arithmetic number, because the mean of its divisors is an integer number (158403).

22333380 is an apocalyptic number.

2333380 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 2333380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851254).

2333380 is an abundant number, since it is smaller than the sum of its proper divisors (3369128).

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

2333380 is a wasteful number, since it uses less digits than its factorization.

2333380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 2333380 is about 1527.5405068279. The cubic root of 2333380 is about 132.6361244923.

The spelling of 2333380 in words is "two million, three hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2381 4762 9524 11905 16667 23810 33334 47620 66668 83335 116669 166670 233338 333340 466676 583345 1166690 2333380