Search a number
-
+
2307396 = 2237132113
BaseRepresentation
bin1000110011010101000100
311100020011010
420303111010
51042314041
6121242220
725420050
oct10632504
94306133
102307396
111336643
12933370
1362a330
14440c60
15308a16
hex233544

2307396 has 48 divisors (see below), whose sum is σ = 6629504. Its totient is φ = 608256.

The previous prime is 2307391. The next prime is 2307397. The reversal of 2307396 is 6937032.

It is a happy number.

It is an Ulam number.

It is a d-powerful number, because it can be written as 211 + 311 + 0 + 74 + 313 + 96 + 62 .

It is not an unprimeable number, because it can be changed into a prime (2307391) 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, 36 + ... + 2148.

22307396 is an apocalyptic number.

2307396 is a gapful number since it is divisible by the number (26) 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 2307396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314752).

2307396 is an abundant number, since it is smaller than the sum of its proper divisors (4322108).

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

2307396 is a wasteful number, since it uses less digits than its factorization.

2307396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 2307396 is about 1519.0115206936. The cubic root of 2307396 is about 132.1419501416.

It can be divided in two parts, 230 and 7396, that added together give a triangular number (7626 = T123).

The spelling of 2307396 in words is "two million, three hundred seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 2113 4226 6339 8452 12678 14791 25356 27469 29582 44373 54938 59164 82407 88746 109876 164814 177492 192283 329628 384566 576849 769132 1153698 2307396