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323053040 = 24517298191
BaseRepresentation
bin10011010000010…
…110010111110000
3211111212210110102
4103100112113300
51130200144130
652020051532
711001622412
oct2320262760
9744783412
10323053040
1115639a592
1290233ba8
1351c0ca5b
1430c949b2
151d564645
hex134165f0

323053040 has 80 divisors (see below), whose sum is σ = 822804480. Its totient is φ = 117411840.

The previous prime is 323053039. The next prime is 323053051. The reversal of 323053040 is 40350323.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35345 + ... + 43535.

It is an arithmetic number, because the mean of its divisors is an integer number (10285056).

Almost surely, 2323053040 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 323053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411402240).

323053040 is an abundant number, since it is smaller than the sum of its proper divisors (499751440).

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

323053040 is a wasteful number, since it uses less digits than its factorization.

323053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 323053040 is about 17973.6763073112. The cubic root of 323053040 is about 686.1587576366.

The spelling of 323053040 in words is "three hundred twenty-three million, fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 680 986 1160 1360 1972 2320 2465 3944 4930 7888 8191 9860 16382 19720 32764 39440 40955 65528 81910 131056 139247 163820 237539 278494 327640 475078 556988 655280 696235 950156 1113976 1187695 1392470 1900312 2227952 2375390 2784940 3800624 4038163 4750780 5569880 8076326 9501560 11139760 16152652 19003120 20190815 32305304 40381630 64610608 80763260 161526520 323053040