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245376 = 273371
BaseRepresentation
bin111011111010000000
3110110121000
4323322000
530323001
65132000
72041245
oct737200
9413530
10245376
1115839a
12ba000
13878c1
14655cc
154ca86
hex3be80

245376 has 64 divisors (see below), whose sum is σ = 734400. Its totient is φ = 80640.

The previous prime is 245339. The next prime is 245383. The reversal of 245376 is 673542.

It is a happy number.

245376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3421 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2245376 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 245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

245376 is an abundant number, since it is smaller than the sum of its proper divisors (489024).

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

245376 is an equidigital number, since it uses as much as digits as its factorization.

245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 245376 is about 495.3544185732. The cubic root of 245376 is about 62.6052413553.

The spelling of 245376 in words is "two hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 284 288 384 426 432 568 576 639 852 864 1136 1152 1278 1704 1728 1917 2272 2556 3408 3456 3834 4544 5112 6816 7668 9088 10224 13632 15336 20448 27264 30672 40896 61344 81792 122688 245376