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13348608 = 283713191
BaseRepresentation
bin110010111010…
…111100000000
3221010011211220
4302322330000
511404123413
61154035040
7221314140
oct62727400
927104756
1013348608
117598009
124578a80
1329c4ab0
141ab6920
15128a223
hexcbaf00

13348608 has 144 divisors (see below), whose sum is σ = 43954176. Its totient is φ = 3502080.

The previous prime is 13348591. The next prime is 13348609. The reversal of 13348608 is 80684331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13348609) 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 15 ways as a sum of consecutive naturals, for example, 69793 + ... + 69983.

Almost surely, 213348608 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 13348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21977088).

13348608 is an abundant number, since it is smaller than the sum of its proper divisors (30605568).

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

13348608 is a wasteful number, since it uses less digits than its factorization.

13348608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13348608 is about 3653.5746878913. The cubic root of 13348608 is about 237.2167363424.

The spelling of 13348608 in words is "thirteen million, three hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 191 192 208 224 256 273 312 336 364 382 384 416 448 546 573 624 672 728 764 768 832 896 1092 1146 1248 1337 1344 1456 1528 1664 1792 2184 2292 2483 2496 2674 2688 2912 3056 3328 4011 4368 4584 4966 4992 5348 5376 5824 6112 7449 8022 8736 9168 9932 9984 10696 11648 12224 14898 16044 17381 17472 18336 19864 21392 23296 24448 29796 32088 34762 34944 36672 39728 42784 48896 52143 59592 64176 69524 69888 73344 79456 85568 104286 119184 128352 139048 146688 158912 171136 208572 238368 256704 278096 317824 342272 417144 476736 513408 556192 635648 834288 953472 1026816 1112384 1668576 1906944 2224768 3337152 4449536 6674304 13348608