[go: up one dir, main page]

Search a number
-
+
23314320 = 2432532381
BaseRepresentation
bin101100011101…
…1111110010000
31121212111020100
41120323332100
521432024240
62151412400
7402111531
oct130737620
947774210
1023314320
1112184437
127984100
134aa3b73
14314c688
1520a7e30
hex163bf90

23314320 has 60 divisors (see below), whose sum is σ = 78299676. Its totient is φ = 6216960.

The previous prime is 23314309. The next prime is 23314321. The reversal of 23314320 is 2341332.

23314320 is a `hidden beast` number, since 233 + 1 + 432 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 11943936 = 3372^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 23314293 and 23314302.

It is not an unprimeable number, because it can be changed into a prime (23314321) 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, 15471 + ... + 16910.

Almost surely, 223314320 is an apocalyptic number.

23314320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23314320 is an abundant number, since it is smaller than the sum of its proper divisors (54985356).

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

23314320 is a wasteful number, since it uses less digits than its factorization.

23314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32400 (or 32391 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23314320 is about 4828.4904473344. The cubic root of 23314320 is about 285.6763254330.

Adding to 23314320 its reverse (2341332), we get a palindrome (25655652).

The spelling of 23314320 in words is "twenty-three million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 32381 64762 97143 129524 161905 194286 259048 291429 323810 388572 485715 518096 582858 647620 777144 971430 1165716 1295240 1457145 1554288 1942860 2331432 2590480 2914290 3885720 4662864 5828580 7771440 11657160 23314320