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381583323 = 32117154287
BaseRepresentation
bin10110101111100…
…111111111011011
3222121000102220200
4112233213333123
51240141131243
6101510353243
712312255552
oct2657477733
9877012820
10381583323
11186437220
12a795b823
1361093a64
143896cd99
1523776ad3
hex16be7fdb

381583323 has 24 divisors (see below), whose sum is σ = 609762816. Its totient is φ = 228001200.

The previous prime is 381583313. The next prime is 381583357. The reversal of 381583323 is 323385183.

It is not a de Polignac number, because 381583323 - 28 = 381583067 is a prime.

It is a super-3 number, since 3×3815833233 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (381583303) 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, 20115 + ... + 34172.

It is an arithmetic number, because the mean of its divisors is an integer number (25406784).

Almost surely, 2381583323 is an apocalyptic number.

381583323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

381583323 is a deficient number, since it is larger than the sum of its proper divisors (228179493).

381583323 is a wasteful number, since it uses less digits than its factorization.

381583323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54375 (or 54372 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 381583323 is about 19534.1578523365. The cubic root of 381583323 is about 725.3202377589.

The spelling of 381583323 in words is "three hundred eighty-one million, five hundred eighty-three thousand, three hundred twenty-three".

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 7029 54287 162861 488583 597157 1791471 3854377 5374413 11563131 34689393 42398147 127194441 381583323