Search a number
-
+
2315424 = 25389271
BaseRepresentation
bin1000110101010010100000
311100122011110
420311102200
51043043144
6121343320
725452336
oct10652240
94318143
102315424
111341681
12937b40
13630b97
14443b56
1530b0b9
hex2354a0

2315424 has 48 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 760320.

The previous prime is 2315413. The next prime is 2315461. The reversal of 2315424 is 4245132.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×23154242 = 10722376599552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2315424.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8409 + ... + 8679.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

22315424 is an apocalyptic number.

2315424 is a gapful number since it is divisible by the number (24) 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 2315424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2315424 is an abundant number, since it is smaller than the sum of its proper divisors (3853536).

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

2315424 is a wasteful number, since it uses less digits than its factorization.

2315424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 2315424 is about 1521.6517341363. The cubic root of 2315424 is about 132.2950242340.

The spelling of 2315424 in words is "two million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 271 356 534 542 712 813 1068 1084 1424 1626 2136 2168 2848 3252 4272 4336 6504 8544 8672 13008 24119 26016 48238 72357 96476 144714 192952 289428 385904 578856 771808 1157712 2315424