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385178332 = 227112234943
BaseRepresentation
bin10110111101010…
…101101011011100
3222211210002100011
4112331111223130
51242101201312
6102115413004
712354650620
oct2675255334
9884702304
10385178332
11188472200
12a8bb4164
1361a52196
1439227180
1523c36da7
hex16f55adc

385178332 has 72 divisors (see below), whose sum is σ = 883749888. Its totient is φ = 143515680.

The previous prime is 385178329. The next prime is 385178351. The reversal of 385178332 is 233871583.

385178332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75453 + ... + 80395.

It is an arithmetic number, because the mean of its divisors is an integer number (12274304).

Almost surely, 2385178332 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 385178332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441874944).

385178332 is an abundant number, since it is smaller than the sum of its proper divisors (498571556).

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

385178332 is a wasteful number, since it uses less digits than its factorization.

385178332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4986 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 385178332 is about 19625.9606643853. The cubic root of 385178332 is about 727.5909402422.

The spelling of 385178332 in words is "three hundred eighty-five million, one hundred seventy-eight thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 242 253 308 322 484 506 644 847 1012 1694 1771 2783 3388 3542 4943 5566 7084 9886 11132 19481 19772 34601 38962 54373 69202 77924 108746 113689 138404 217492 227378 380611 454756 598103 761222 795823 1196206 1250579 1522444 1591646 2392412 2501158 3183292 4186721 5002316 8373442 8754053 13756369 16746884 17508106 27512738 35016212 55025476 96294583 192589166 385178332