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385003385352 = 233223415670487
BaseRepresentation
bin1011001101000111111…
…11010111001000001000
31100210202112210102010200
411212203333113020020
522301441331312402
6452511302412200
736546512531265
oct5464377271010
91323675712120
10385003385352
111393084128a3
1262748a31060
132a3c8709171
14148c45c026c
15a03505221c
hex59a3fd7208

385003385352 has 96 divisors (see below), whose sum is σ = 1114591121280. Its totient is φ = 119760664320.

The previous prime is 385003385297. The next prime is 385003385353. The reversal of 385003385352 is 253583300583.

385003385352 is a `hidden beast` number, since 3 + 8 + 500 + 33 + 85 + 35 + 2 = 666.

385003385352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 385003385298 and 385003385307.

It is not an unprimeable number, because it can be changed into a prime (385003385353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2767348 + ... + 2903139.

It is an arithmetic number, because the mean of its divisors is an integer number (11610324180).

Almost surely, 2385003385352 is an apocalyptic number.

It is an amenable number.

385003385352 is an abundant number, since it is smaller than the sum of its proper divisors (729587735928).

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

385003385352 is a wasteful number, since it uses less digits than its factorization.

385003385352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670563 (or 5670556 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 385003385352 in words is "three hundred eighty-five billion, three million, three hundred eighty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 41 46 69 72 82 92 123 138 164 184 207 246 276 328 369 414 492 552 738 828 943 984 1476 1656 1886 2829 2952 3772 5658 7544 8487 11316 16974 22632 33948 67896 5670487 11340974 17011461 22681948 34022922 45363896 51034383 68045844 102068766 130421201 136091688 204137532 232489967 260842402 391263603 408275064 464979934 521684804 697469901 782527206 929959868 1043369608 1173790809 1394939802 1565054412 1859919736 2092409703 2347581618 2789879604 3130108824 4184819406 4695163236 5347269241 5579759208 8369638812 9390326472 10694538482 16041807723 16739277624 21389076964 32083615446 42778153928 48125423169 64167230892 96250846338 128334461784 192501692676 385003385352