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2349056 = 2113137
BaseRepresentation
bin1000111101100000000000
311102100022002
420331200000
51100132211
6122203132
725652363
oct10754000
94370262
102349056
111364976
129534a8
13643298
144520da
1531603b
hex23d800

2349056 has 48 divisors (see below), whose sum is σ = 4979520. Its totient is φ = 1105920.

The previous prime is 2349041. The next prime is 2349071. The reversal of 2349056 is 6509432.

It is an interprime number because it is at equal distance from previous prime (2349041) and next prime (2349071).

It is a super-2 number, since 2×23490562 = 11036128182272, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63470 + ... + 63506.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

22349056 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 2349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489760).

2349056 is an abundant number, since it is smaller than the sum of its proper divisors (2630464).

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

2349056 is an equidigital number, since it uses as much as digits as its factorization.

2349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2349056 is about 1532.6630418980. The cubic root of 2349056 is about 132.9324850011.

The spelling of 2349056 in words is "two million, three hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 256 296 496 512 592 992 1024 1147 1184 1984 2048 2294 2368 3968 4588 4736 7936 9176 9472 15872 18352 18944 31744 36704 37888 63488 73408 75776 146816 293632 587264 1174528 2349056