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73298016 = 253211171361
BaseRepresentation
bin1000101111001…
…11000001100000
312002220220222100
410113213001200
5122231014031
611135010400
71550010561
oct427470140
9162826870
1073298016
1138413980
1220669a00
1312254a0c
149a40168
15667cde6
hex45e7060

73298016 has 144 divisors (see below), whose sum is σ = 240943248. Its totient is φ = 20889600.

The previous prime is 73298009. The next prime is 73298021. The reversal of 73298016 is 61089237.

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 a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53176 + ... + 54536.

It is an arithmetic number, because the mean of its divisors is an integer number (1673217).

Almost surely, 273298016 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 73298016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120471624).

73298016 is an abundant number, since it is smaller than the sum of its proper divisors (167645232).

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

73298016 is a wasteful number, since it uses less digits than its factorization.

73298016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73298016 is about 8561.4260494383. The cubic root of 73298016 is about 418.5018734687.

The spelling of 73298016 in words is "seventy-three million, two hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1361 1496 1584 1632 1683 2244 2448 2722 2992 3168 3366 4083 4488 4896 5444 5984 6732 8166 8976 10888 12249 13464 14971 16332 17952 21776 23137 24498 26928 29942 32664 43552 44913 46274 48996 53856 59884 65328 69411 89826 92548 97992 119768 130656 134739 138822 179652 185096 195984 208233 239536 254507 269478 277644 359304 370192 391968 416466 479072 509014 538956 555288 718608 740384 763521 832932 1018028 1077912 1110576 1437216 1527042 1665864 2036056 2155824 2221152 2290563 3054084 3331728 4072112 4311648 4581126 6108168 6663456 8144224 9162252 12216336 18324504 24432672 36649008 73298016