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2344211120 = 24529302639
BaseRepresentation
bin1000101110111001…
…1101001010110000
320001101001021010002
42023232131022300
514300104223440
61024340325132
7112043315516
oct21356351260
96041037102
102344211120
11aa3278569
125550a37a8
132b4884694
1418349a4b6
15dac06115
hex8bb9d2b0

2344211120 has 20 divisors (see below), whose sum is σ = 5450291040. Its totient is φ = 937684416.

The previous prime is 2344211087. The next prime is 2344211137. The reversal of 2344211120 is 211124432.

2344211120 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 (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2344211092 and 2344211101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14651240 + ... + 14651399.

It is an arithmetic number, because the mean of its divisors is an integer number (272514552).

Almost surely, 22344211120 is an apocalyptic number.

2344211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2344211120 is an abundant number, since it is smaller than the sum of its proper divisors (3106079920).

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

2344211120 is a wasteful number, since it uses less digits than its factorization.

2344211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29302652 (or 29302646 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2344211120 is about 48417.0540202520. The cubic root of 2344211120 is about 1328.4103192093.

Adding to 2344211120 its reverse (211124432), we get a palindrome (2555335552).

The spelling of 2344211120 in words is "two billion, three hundred forty-four million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 29302639 58605278 117210556 146513195 234421112 293026390 468842224 586052780 1172105560 2344211120