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2305464 = 233713723
BaseRepresentation
bin1000110010110110111000
311100010111120
420302312320
51042233324
6121225240
725411320
oct10626670
94303446
102305464
111335147
12932220
136294a5
14440280
15308179
hex232db8

2305464 has 32 divisors (see below), whose sum is σ = 6587520. Its totient is φ = 658656.

The previous prime is 2305463. The next prime is 2305481. The reversal of 2305464 is 4645032.

2305464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6694 + ... + 7029.

It is an arithmetic number, because the mean of its divisors is an integer number (205860).

22305464 is an apocalyptic number.

2305464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2305464 is an abundant number, since it is smaller than the sum of its proper divisors (4282056).

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

2305464 is a wasteful number, since it uses less digits than its factorization.

2305464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739 (or 13735 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2305464 is about 1518.3754476413. The cubic root of 2305464 is about 132.1050586941.

The spelling of 2305464 in words is "two million, three hundred five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 13723 27446 41169 54892 82338 96061 109784 164676 192122 288183 329352 384244 576366 768488 1152732 2305464