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2348064 = 253231263
BaseRepresentation
bin1000111101010000100000
311102021221100
420331100200
51100114224
6122154400
725646445
oct10752040
94367840
102348064
111364154
12952a00
136429b4
144519cc
15315ac9
hex23d420

2348064 has 72 divisors (see below), whose sum is σ = 6918912. Its totient is φ = 754560.

The previous prime is 2348053. The next prime is 2348081. The reversal of 2348064 is 4608432.

It is a tau number, because it is divible by the number of its divisors (72).

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, 8797 + ... + 9059.

It is an arithmetic number, because the mean of its divisors is an integer number (96096).

22348064 is an apocalyptic number.

2348064 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 2348064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456).

2348064 is an abundant number, since it is smaller than the sum of its proper divisors (4570848).

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

2348064 is a wasteful number, since it uses less digits than its factorization.

2348064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2348064 is about 1532.3393879947. The cubic root of 2348064 is about 132.9137700234.

The spelling of 2348064 in words is "two million, three hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 263 279 288 372 496 526 558 744 789 992 1052 1116 1488 1578 2104 2232 2367 2976 3156 4208 4464 4734 6312 8153 8416 8928 9468 12624 16306 18936 24459 25248 32612 37872 48918 65224 73377 75744 97836 130448 146754 195672 260896 293508 391344 587016 782688 1174032 2348064