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234265248 = 25327294007
BaseRepresentation
bin11011111011010…
…01101010100000
3121022210220111200
431331221222200
5434432441443
635125041200
75543136030
oct1575515240
9538726450
10234265248
11110266a48
1266556200
13396c37b9
14231818c0
1515876dd3
hexdf69aa0

234265248 has 144 divisors (see below), whose sum is σ = 787812480. Its totient is φ = 64608768.

The previous prime is 234265237. The next prime is 234265303. The reversal of 234265248 is 842562432.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56461 + ... + 60467.

It is an arithmetic number, because the mean of its divisors is an integer number (5470920).

Almost surely, 2234265248 is an apocalyptic number.

234265248 is a gapful number since it is divisible by the number (28) 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 234265248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393906240).

234265248 is an abundant number, since it is smaller than the sum of its proper divisors (553547232).

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

234265248 is a wasteful number, since it uses less digits than its factorization.

234265248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4048 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 234265248 is about 15305.7259873552. The cubic root of 234265248 is about 616.4567647273.

The spelling of 234265248 in words is "two hundred thirty-four million, two hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4007 4176 4872 6496 7308 8014 8352 9744 12021 14616 16028 19488 24042 28049 29232 32056 36063 48084 56098 58464 64112 72126 84147 96168 112196 116203 128224 144252 168294 192336 224392 232406 252441 288504 336588 348609 384672 448784 464812 504882 577008 673176 697218 813421 897568 929624 1009764 1045827 1154016 1346352 1394436 1626842 1859248 2019528 2091654 2440263 2692704 2788872 3253684 3718496 4039056 4183308 4880526 5577744 6507368 7320789 8078112 8366616 9761052 11155488 13014736 14641578 16733232 19522104 26029472 29283156 33466464 39044208 58566312 78088416 117132624 234265248