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923390208 = 28321330829
BaseRepresentation
bin110111000010011…
…101000100000000
32101100112002020100
4313002131010000
53342341441313
6231343242400
731611454506
oct6702350400
92340462210
10923390208
11434258804
122192a9400
131193c5c50
148a8c8676
15560ec173
hex3709d100

923390208 has 108 divisors (see below), whose sum is σ = 2867251660. Its totient is φ = 284110848.

The previous prime is 923390201. The next prime is 923390257. The reversal of 923390208 is 802093329.

It can be written as a sum of positive squares in 2 ways, for example, as 485409024 + 437981184 = 22032^2 + 20928^2 .

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 (923390201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14538 + ... + 45366.

Almost surely, 2923390208 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 923390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433625830).

923390208 is an abundant number, since it is smaller than the sum of its proper divisors (1943861452).

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

923390208 is a wasteful number, since it uses less digits than its factorization.

923390208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30864 (or 30847 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 923390208 is about 30387.3363097195. The cubic root of 923390208 is about 973.7820278580.

The spelling of 923390208 in words is "nine hundred twenty-three million, three hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 30829 61658 92487 123316 184974 246632 277461 369948 400777 493264 554922 739896 801554 986528 1109844 1202331 1479792 1603108 1973056 2219688 2404662 2959584 3206216 3606993 3946112 4439376 4809324 5919168 6412432 7213986 7892224 8878752 9618648 11838336 12824864 14427972 17757504 19237296 23676672 25649728 28855944 35515008 38474592 51299456 57711888 71030016 76949184 102598912 115423776 153898368 230847552 307796736 461695104 923390208