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2348256 = 25361401
BaseRepresentation
bin1000111101010011100000
311102022012110
420331103200
51100121011
6122155320
725650141
oct10752340
94368173
102348256
111364309
12952b40
13642b01
14451ac8
15315ba6
hex23d4e0

2348256 has 48 divisors (see below), whose sum is σ = 6280848. Its totient is φ = 768000.

The previous prime is 2348251. The next prime is 2348257. The reversal of 2348256 is 6528432.

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

It is a d-powerful number, because it can be written as 213 + 311 + 48 + 8 + 221 + 5 + 63 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348251) 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, 5656 + ... + 6056.

It is an arithmetic number, because the mean of its divisors is an integer number (130851).

22348256 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 2348256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140424).

2348256 is an abundant number, since it is smaller than the sum of its proper divisors (3932592).

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

2348256 is a wasteful number, since it uses less digits than its factorization.

2348256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2348256 is about 1532.4020360206. The cubic root of 2348256 is about 132.9173926885.

The spelling of 2348256 in words is "two million, three hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 401 488 732 802 976 1203 1464 1604 1952 2406 2928 3208 4812 5856 6416 9624 12832 19248 24461 38496 48922 73383 97844 146766 195688 293532 391376 587064 782752 1174128 2348256