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352233630 = 23357227821
BaseRepresentation
bin10100111111101…
…010100010011110
3220112210022201000
4110333222202132
51210132434010
654541331130
711504636130
oct2477524236
9815708630
10352233630
11170910381
1299b66aa6
1357c88a88
1434acd050
1520dca7c0
hex14fea89e

352233630 has 128 divisors (see below), whose sum is σ = 1079516160. Its totient is φ = 80058240.

The previous prime is 352233617. The next prime is 352233649. The reversal of 352233630 is 36332253.

352233630 is a `hidden beast` number, since 3 + 5 + 2 + 23 + 3 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 352233594 and 352233603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428620 + ... + 429440.

It is an arithmetic number, because the mean of its divisors is an integer number (8433720).

Almost surely, 2352233630 is an apocalyptic number.

352233630 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 352233630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539758080).

352233630 is an abundant number, since it is smaller than the sum of its proper divisors (727282530).

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

352233630 is a wasteful number, since it uses less digits than its factorization.

352233630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 352233630 is about 18767.8882669308. Note that the first 3 decimals coincide. The cubic root of 352233630 is about 706.2258437453.

Adding to 352233630 its reverse (36332253), we get a palindrome (388565883).

The spelling of 352233630 in words is "three hundred fifty-two million, two hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 227 270 315 378 454 630 681 821 945 1135 1362 1589 1642 1890 2043 2270 2463 3178 3405 4086 4105 4767 4926 5747 6129 6810 7389 7945 8210 9534 10215 11494 12258 12315 14301 14778 15890 17241 20430 22167 23835 24630 28602 28735 30645 34482 36945 42903 44334 47670 51723 57470 61290 71505 73890 85806 86205 103446 110835 143010 155169 172410 186367 214515 221670 258615 310338 372734 429030 517230 559101 775845 931835 1118202 1304569 1551690 1677303 1863670 2609138 2795505 3354606 3913707 5031909 5591010 6522845 7827414 8386515 10063818 11741121 13045690 16773030 19568535 23482242 25159545 35223363 39137070 50319090 58705605 70446726 117411210 176116815 352233630