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355381380 = 223252637507
BaseRepresentation
bin10101001011101…
…011000010000100
3220202201020121100
4111023223002010
51211434201010
655133020100
711543456214
oct2513530204
9822636540
10355381380
11172670322
129b024630
135881b753
14352ac244
15212ed2c0
hex152eb084

355381380 has 72 divisors (see below), whose sum is σ = 1082233152. Its totient is φ = 94395456.

The previous prime is 355381363. The next prime is 355381387. The reversal of 355381380 is 83183553.

355381380 is a `hidden beast` number, since 35 + 538 + 13 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (355381387) 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, 43587 + ... + 51093.

It is an arithmetic number, because the mean of its divisors is an integer number (15031016).

Almost surely, 2355381380 is an apocalyptic number.

355381380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355381380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541116576).

355381380 is an abundant number, since it is smaller than the sum of its proper divisors (726851772).

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

355381380 is a wasteful number, since it uses less digits than its factorization.

355381380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 355381380 is about 18851.5617390178. The cubic root of 355381380 is about 708.3233465105.

The spelling of 355381380 in words is "three hundred fifty-five million, three hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 263 526 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7507 7890 9468 11835 15014 15780 22521 23670 30028 37535 45042 47340 67563 75070 90084 112605 135126 150140 225210 270252 337815 450420 675630 1351260 1974341 3948682 5923023 7897364 9871705 11846046 17769069 19743410 23692092 29615115 35538138 39486820 59230230 71076276 88845345 118460460 177690690 355381380