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2345056 = 25719229
BaseRepresentation
bin1000111100100001100000
311102010210221
420330201200
51100020211
6122132424
725634620
oct10744140
94363727
102345056
11136196a
12951114
1364150c
14450880
15314c71
hex23c860

2345056 has 72 divisors (see below), whose sum is σ = 5760720. Its totient is φ = 919296.

The previous prime is 2345053. The next prime is 2345087. The reversal of 2345056 is 6505432.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2345056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80850 + ... + 80878.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

22345056 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 2345056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880360).

2345056 is an abundant number, since it is smaller than the sum of its proper divisors (3415664).

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

2345056 is a wasteful number, since it uses less digits than its factorization.

2345056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2345056 is about 1531.3575676504. The cubic root of 2345056 is about 132.8569891370.

The spelling of 2345056 in words is "two million, three hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 76 112 116 133 152 203 224 232 266 304 361 406 464 532 551 608 722 812 928 1064 1102 1444 1624 2128 2204 2527 2888 3248 3857 4256 4408 5054 5776 6496 7714 8816 10108 10469 11552 15428 17632 20216 20938 30856 40432 41876 61712 73283 80864 83752 123424 146566 167504 293132 335008 586264 1172528 2345056