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384357064 = 23713836361
BaseRepresentation
bin10110111010001…
…101001011001000
3222210020100202211
4112322031023020
51241343411224
6102050034504
712344660350
oct2672151310
9883210684
10384357064
11187a61173
12a8878a34
1361825420
1439091b60
1523b23894
hex16e8d2c8

384357064 has 64 divisors (see below), whose sum is σ = 897805440. Its totient is φ = 150197760.

The previous prime is 384357019. The next prime is 384357067. The reversal of 384357064 is 460753483.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (384357067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57244 + ... + 63604.

It is an arithmetic number, because the mean of its divisors is an integer number (14028210).

Almost surely, 2384357064 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 384357064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448902720).

384357064 is an abundant number, since it is smaller than the sum of its proper divisors (513448376).

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

384357064 is a wasteful number, since it uses less digits than its factorization.

384357064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 384357064 is about 19605.0264983244. The cubic root of 384357064 is about 727.0734549613.

The spelling of 384357064 in words is "three hundred eighty-four million, three hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 83 91 104 166 182 332 364 581 664 728 1079 1162 2158 2324 4316 4648 6361 7553 8632 12722 15106 25444 30212 44527 50888 60424 82693 89054 165386 178108 330772 356216 527963 578851 661544 1055926 1157702 2111852 2315404 3695741 4223704 4630808 6863519 7391482 13727038 14782964 27454076 29565928 48044633 54908152 96089266 192178532 384357064