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245801304 = 23397223
BaseRepresentation
bin11101010011010…
…10000101011000
3122010112000000000
432221222011120
51000411120204
640220213000
76043163610
oct1651520530
9563460000
10245801304
11116826181
126a39a160
133bc02578
1424905a40
15168a5039
hexea6a158

245801304 has 160 divisors (see below), whose sum is σ = 793605120. Its totient is φ = 69914016.

The previous prime is 245801279. The next prime is 245801321. The reversal of 245801304 is 403108542.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1102137 + ... + 1102359.

It is an arithmetic number, because the mean of its divisors is an integer number (4960032).

Almost surely, 2245801304 is an apocalyptic number.

245801304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245801304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396802560).

245801304 is an abundant number, since it is smaller than the sum of its proper divisors (547803816).

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

245801304 is an frugal number, since it uses more digits than its factorization.

245801304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 245801304 is about 15678.0516646680. The cubic root of 245801304 is about 626.4139117005.

Adding to 245801304 its reverse (403108542), we get a palindrome (648909846).

The spelling of 245801304 in words is "two hundred forty-five million, eight hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 223 243 252 324 378 446 486 504 567 648 669 729 756 892 972 1134 1338 1458 1512 1561 1701 1784 1944 2007 2187 2268 2676 2916 3122 3402 4014 4374 4536 4683 5103 5352 5832 6021 6244 6561 6804 8028 8748 9366 10206 12042 12488 13122 13608 14049 15309 16056 17496 18063 18732 19683 20412 24084 26244 28098 30618 36126 37464 39366 40824 42147 45927 48168 52488 54189 56196 61236 72252 78732 84294 91854 108378 112392 122472 126441 137781 144504 157464 162567 168588 183708 216756 252882 275562 325134 337176 367416 379323 433512 487701 505764 551124 650268 758646 975402 1011528 1102248 1137969 1300536 1463103 1517292 1950804 2275938 2926206 3034584 3413907 3901608 4389309 4551876 5852412 6827814 8778618 9103752 10241721 11704824 13655628 17557236 20483442 27311256 30725163 35114472 40966884 61450326 81933768 122900652 245801304