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381346368 = 26313152783
BaseRepresentation
bin10110101110101…
…110001001000000
3222120120101212120
4112232232021000
51240111040433
6101501324240
712310250664
oct2656561100
9876511776
10381346368
11186295197
12a7866680
136100cc50
143890a8a4
152372b7b3
hex16bae240

381346368 has 56 divisors (see below), whose sum is σ = 1086599808. Its totient is φ = 117336576.

The previous prime is 381346327. The next prime is 381346369. The reversal of 381346368 is 863643183.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (381346369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73896 + ... + 78887.

It is an arithmetic number, because the mean of its divisors is an integer number (19403568).

Almost surely, 2381346368 is an apocalyptic number.

It is an amenable number.

381346368 is an abundant number, since it is smaller than the sum of its proper divisors (705253440).

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

381346368 is a wasteful number, since it uses less digits than its factorization.

381346368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152811 (or 152801 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 381346368 is about 19528.0917654542. The cubic root of 381346368 is about 725.1700706051.

The spelling of 381346368 in words is "three hundred eighty-one million, three hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 152783 305566 458349 611132 916698 1222264 1833396 1986179 2444528 3666792 3972358 4889056 5958537 7333584 7944716 9778112 11917074 14667168 15889432 23834148 29334336 31778864 47668296 63557728 95336592 127115456 190673184 381346368