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393935016 = 233173312917
BaseRepresentation
bin10111011110101…
…111100010101000
31000110020222020210
4113132233202220
51301321410031
6103031221120
712522251406
oct2736574250
91013228223
10393935016
11192403232
12abb177a0
13637c9b57
143a466476
15248b6746
hex177af8a8

393935016 has 64 divisors (see below), whose sum is σ = 1046278080. Its totient is φ = 123171840.

The previous prime is 393934987. The next prime is 393935039. The reversal of 393935016 is 610539393.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133590 + ... + 136506.

It is an arithmetic number, because the mean of its divisors is an integer number (16348095).

Almost surely, 2393935016 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 393935016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523139040).

393935016 is an abundant number, since it is smaller than the sum of its proper divisors (652343064).

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

393935016 is a wasteful number, since it uses less digits than its factorization.

393935016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 39.

The square root of 393935016 is about 19847.7962504657. The cubic root of 393935016 is about 733.0633862251.

The spelling of 393935016 in words is "three hundred ninety-three million, nine hundred thirty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 331 408 662 993 1324 1986 2648 2917 3972 5627 5834 7944 8751 11254 11668 16881 17502 22508 23336 33762 35004 45016 49589 67524 70008 99178 135048 148767 198356 297534 396712 595068 965527 1190136 1931054 2896581 3862108 5793162 7724216 11586324 16413959 23172648 32827918 49241877 65655836 98483754 131311672 196967508 393935016