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2340192 = 253191283
BaseRepresentation
bin1000111011010101100000
311101220010210
420323111200
51044341232
6122054120
725614501
oct10732540
94356123
102340192
111359248
1294a340
1363c23a
1444cba8
153135cc
hex23b560

2340192 has 48 divisors (see below), whose sum is σ = 6471360. Its totient is φ = 738432.

The previous prime is 2340187. The next prime is 2340193. The reversal of 2340192 is 2910432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183 + ... + 2465.

It is an arithmetic number, because the mean of its divisors is an integer number (134820).

22340192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235680).

2340192 is an abundant number, since it is smaller than the sum of its proper divisors (4131168).

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

2340192 is a wasteful number, since it uses less digits than its factorization.

2340192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2340192 is about 1529.7686099538. The cubic root of 2340192 is about 132.7650704090.

The spelling of 2340192 in words is "two million, three hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1283 1824 2566 3849 5132 7698 10264 15396 20528 24377 30792 41056 48754 61584 73131 97508 123168 146262 195016 292524 390032 585048 780064 1170096 2340192