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2344254240 = 25354883863
BaseRepresentation
bin1000101110111010…
…0111101100100000
320001101010110021010
42023232213230200
514300112113430
61024341300520
7112043555316
oct21356475440
96041113233
102344254240
11aa32a79a9
12555104740
132b489b1b3
141834ac0b6
15dac13cb0
hex8bba7b20

2344254240 has 48 divisors (see below), whose sum is σ = 7384402368. Its totient is φ = 625134336.

The previous prime is 2344254233. The next prime is 2344254281. The reversal of 2344254240 is 424524432.

2344254240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2344254198 and 2344254207.

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, 2441452 + ... + 2442411.

It is an arithmetic number, because the mean of its divisors is an integer number (153841716).

Almost surely, 22344254240 is an apocalyptic number.

2344254240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2344254240 is an abundant number, since it is smaller than the sum of its proper divisors (5040148128).

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

2344254240 is a wasteful number, since it uses less digits than its factorization.

2344254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883881 (or 4883873 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 2344254240 is about 48417.4993158465. The cubic root of 2344254240 is about 1328.4184641955.

Adding to 2344254240 its reverse (424524432), we get a palindrome (2768778672).

The spelling of 2344254240 in words is "two billion, three hundred forty-four million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4883863 9767726 14651589 19535452 24419315 29303178 39070904 48838630 58606356 73257945 78141808 97677260 117212712 146515890 156283616 195354520 234425424 293031780 390709040 468850848 586063560 781418080 1172127120 2344254240