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97323264 = 283253797
BaseRepresentation
bin1011100110100…
…00100100000000
320210010112102100
411303100210000
5144403321024
613353550400
72261143203
oct563204400
9223115370
1097323264
114aa33455
1228715400
131721733c
14ccd593a
1588267c9
hex5cd0900

97323264 has 108 divisors (see below), whose sum is σ = 286260156. Its totient is φ = 31789056.

The previous prime is 97323257. The next prime is 97323269. The reversal of 97323264 is 46232379.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58982400 + 38340864 = 7680^2 + 6192^2 .

It is a super-2 number, since 2×973232642 = 18943635431227392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (97323269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121714 + ... + 122510.

It is an arithmetic number, because the mean of its divisors is an integer number (2650557).

Almost surely, 297323264 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 97323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143130078).

97323264 is an abundant number, since it is smaller than the sum of its proper divisors (188936892).

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

97323264 is a wasteful number, since it uses less digits than its factorization.

97323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 855 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 97323264 is about 9865.2553945653. The cubic root of 97323264 is about 459.9799361129.

It can be divided in two parts, 9732 and 3264, that added together give a square (12996 = 1142).

The spelling of 97323264 in words is "ninety-seven million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 576 636 768 797 848 954 1152 1272 1594 1696 1908 2304 2391 2544 3188 3392 3816 4782 5088 6376 6784 7173 7632 9564 10176 12752 13568 14346 15264 19128 20352 25504 28692 30528 38256 40704 42241 51008 57384 61056 76512 84482 102016 114768 122112 126723 153024 168964 204032 229536 253446 306048 337928 380169 459072 506892 612096 675856 760338 918144 1013784 1351712 1520676 1836288 2027568 2703424 3041352 4055136 5406848 6082704 8110272 10813696 12165408 16220544 24330816 32441088 48661632 97323264