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823134320 = 24531331909
BaseRepresentation
bin110001000100000…
…000100001110000
32010100212120000022
4301010000201300
53141210244240
6213402343012
726253345341
oct6104004160
92110776008
10823134320
11392701aa8
121ab7baa68
131016c2b38
147b46c0c8
154c3e69b5
hex31100870

823134320 has 40 divisors (see below), whose sum is σ = 1975528320. Its totient is φ = 318631680.

The previous prime is 823134307. The next prime is 823134331. The reversal of 823134320 is 23431328.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 823134320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163475 + ... + 168434.

It is an arithmetic number, because the mean of its divisors is an integer number (49388208).

Almost surely, 2823134320 is an apocalyptic number.

823134320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823134320 is an abundant number, since it is smaller than the sum of its proper divisors (1152394000).

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

823134320 is a wasteful number, since it uses less digits than its factorization.

823134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331953 (or 331947 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 823134320 is about 28690.3175304840. The cubic root of 823134320 is about 937.1812040801.

Adding to 823134320 its reverse (23431328), we get a palindrome (846565648).

The spelling of 823134320 in words is "eight hundred twenty-three million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 331909 663818 1327636 1659545 2655272 3319090 5310544 6638180 10289179 13276360 20578358 26552720 41156716 51445895 82313432 102891790 164626864 205783580 411567160 823134320