Search a number
-
+
355034532 = 223192379857
BaseRepresentation
bin10101001010010…
…110010110100100
3220202001121211010
4111022112112210
51211342101112
655121342220
711540513046
oct2512262644
9822047733
10355034532
11172453776
129aa97970
1358729908
143521ba96
152128063c
hex152965a4

355034532 has 96 divisors (see below), whose sum is σ = 922521600. Its totient is φ = 105760512.

The previous prime is 355034527. The next prime is 355034549. The reversal of 355034532 is 235430553.

355034532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 355034532.

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 31 ways as a sum of consecutive naturals, for example, 413848 + ... + 414704.

It is an arithmetic number, because the mean of its divisors is an integer number (9609600).

Almost surely, 2355034532 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 355034532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461260800).

355034532 is an abundant number, since it is smaller than the sum of its proper divisors (567487068).

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

355034532 is a wasteful number, since it uses less digits than its factorization.

355034532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 355034532 is about 18842.3600432642. The cubic root of 355034532 is about 708.0928331143.

The spelling of 355034532 in words is "three hundred fifty-five million, thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 79 92 114 138 158 228 237 276 316 437 474 857 874 948 1311 1501 1714 1748 1817 2571 2622 3002 3428 3634 4503 5142 5244 5451 6004 7268 9006 10284 10902 16283 18012 19711 21804 32566 34523 39422 48849 59133 65132 67703 69046 78844 97698 103569 118266 135406 138092 195396 203109 207138 236532 270812 374509 406218 414276 749018 812436 1123527 1286357 1498036 1557169 2247054 2572714 3114338 3859071 4494108 4671507 5145428 6228676 7718142 9343014 15436284 18686028 29586211 59172422 88758633 118344844 177517266 355034532