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379958328 = 233237193739
BaseRepresentation
bin10110101001011…
…011010000111000
3222110221212211200
4112221123100320
51234232131303
6101411454200
712262410141
oct2651332070
9873855750
10379958328
11185527352
12a72b7360
1360945219
1438668ac8
15235553a3
hex16a5b438

379958328 has 96 divisors (see below), whose sum is σ = 1063779600. Its totient is φ = 122425344.

The previous prime is 379958323. The next prime is 379958329. The reversal of 379958328 is 823859973.

It is a happy number.

379958328 is a `hidden beast` number, since 37 + 9 + 9 + 583 + 28 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379958323) 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, 513783 + ... + 514521.

Almost surely, 2379958328 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 379958328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531889800).

379958328 is an abundant number, since it is smaller than the sum of its proper divisors (683821272).

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

379958328 is a wasteful number, since it uses less digits than its factorization.

379958328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 974 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 379958328 is about 19492.5197960654. The cubic root of 379958328 is about 724.2891664626.

The spelling of 379958328 in words is "three hundred seventy-nine million, nine hundred fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 193 222 296 333 386 444 579 666 739 772 888 1158 1332 1478 1544 1737 2217 2316 2664 2956 3474 4434 4632 5912 6651 6948 7141 8868 13302 13896 14282 17736 21423 26604 27343 28564 42846 53208 54686 57128 64269 82029 85692 109372 128538 142627 164058 171384 218744 246087 257076 285254 328116 427881 492174 514152 570508 656232 855762 984348 1141016 1283643 1711524 1968696 2567286 3423048 5134572 5277199 10269144 10554398 15831597 21108796 31663194 42217592 47494791 63326388 94989582 126652776 189979164 379958328