Search a number
-
+
2323442400 = 25352968101
BaseRepresentation
bin1000101001111100…
…1110101011100000
312222220222002210020
42022133032223200
514224300124100
61022315233440
7111401635356
oct21237165340
95886862706
102323442400
11a92582734
1254a148880
132b04923b6
141808117d6
15d8ea25a0
hex8a7ceae0

2323442400 has 72 divisors (see below), whose sum is σ = 7562812824. Its totient is φ = 619584000.

The previous prime is 2323442399. The next prime is 2323442449. The reversal of 2323442400 is 42443232.

2323442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23234424002 = 10796769172235520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481651 + ... + 486450.

It is an arithmetic number, because the mean of its divisors is an integer number (105039067).

Almost surely, 22323442400 is an apocalyptic number.

2323442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2323442400 is an abundant number, since it is smaller than the sum of its proper divisors (5239370424).

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

2323442400 is a wasteful number, since it uses less digits than its factorization.

2323442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968124 (or 968111 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2323442400 is about 48202.0995393354. The cubic root of 2323442400 is about 1324.4756249468.

Adding to 2323442400 its reverse (42443232), we get a palindrome (2365885632).

The spelling of 2323442400 in words is "two billion, three hundred twenty-three million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 968101 1936202 2904303 3872404 4840505 5808606 7744808 9681010 11617212 14521515 15489616 19362020 23234424 24202525 29043030 30979232 38724040 46468848 48405050 58086060 72607575 77448080 92937696 96810100 116172120 145215150 154896160 193620200 232344240 290430300 387240400 464688480 580860600 774480800 1161721200 2323442400