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97045344 = 25331110211
BaseRepresentation
bin1011100100011…
…00101101100000
320202121102012000
411302030231200
5144320422334
613344004000
72255605014
oct562145540
9222542160
1097045344
114a863670
1228600600
131714a9a6
14cc62544
1587be299
hex5c8cb60

97045344 has 96 divisors (see below), whose sum is σ = 308810880. Its totient is φ = 29404800.

The previous prime is 97045313. The next prime is 97045357. The reversal of 97045344 is 44354079.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 97045299 and 97045308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4399 + ... + 14609.

It is an arithmetic number, because the mean of its divisors is an integer number (3216780).

Almost surely, 297045344 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 97045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154405440).

97045344 is an abundant number, since it is smaller than the sum of its proper divisors (211765536).

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

97045344 is a wasteful number, since it uses less digits than its factorization.

97045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10241 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 97045344 is about 9851.1595256599. The cubic root of 97045344 is about 459.5416732968.

The spelling of 97045344 in words is "ninety-seven million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 10211 20422 30633 40844 61266 81688 91899 112321 122532 163376 183798 224642 245064 275697 326752 336963 367596 449284 490128 551394 673926 735192 898568 980256 1010889 1102788 1347852 1470384 1797136 2021778 2205576 2695704 2940768 3032667 3594272 4043556 4411152 5391408 6065334 8087112 8822304 10782816 12130668 16174224 24261336 32348448 48522672 97045344