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355345050 = 235217331421
BaseRepresentation
bin10101001011100…
…010001010011010
3220202122101202210
4111023202022122
51211432020200
655132135550
711543245254
oct2513421232
9822571683
10355345050
11172645aa5
129b0075b6
1358808058
143529ccd4
15212e2650
hex152e229a

355345050 has 96 divisors (see below), whose sum is σ = 938136384. Its totient is φ = 88704000.

The previous prime is 355345031. The next prime is 355345061. The reversal of 355345050 is 50543553.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 355344999 and 355345017.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 843840 + ... + 844260.

It is an arithmetic number, because the mean of its divisors is an integer number (9772254).

Almost surely, 2355345050 is an apocalyptic number.

355345050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 355345050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469068192).

355345050 is an abundant number, since it is smaller than the sum of its proper divisors (582791334).

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

355345050 is a wasteful number, since it uses less digits than its factorization.

355345050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 355345050 is about 18850.5981337463. The cubic root of 355345050 is about 708.2992088136.

The spelling of 355345050 in words is "three hundred fifty-five million, three hundred forty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 331 421 425 510 662 842 850 993 1263 1275 1655 1986 2105 2526 2550 3310 4210 4965 5627 6315 7157 8275 9930 10525 11254 12630 14314 16550 16881 21050 21471 24825 28135 31575 33762 35785 42942 49650 56270 63150 71570 84405 107355 139351 140675 168810 178925 214710 278702 281350 357850 418053 422025 536775 696755 836106 844050 1073550 1393510 2090265 2368967 3483775 4180530 4737934 6967550 7106901 10451325 11844835 14213802 20902650 23689670 35534505 59224175 71069010 118448350 177672525 355345050