Search a number
-
+
356342112 = 25337219443
BaseRepresentation
bin10101001111010…
…101100101100000
3220211112001111000
4111033111211200
51212210421422
655205352000
711554600200
oct2517254540
9824461430
10356342112
11173167115
129b408600
1358a96b29
143547c400
152143ccac
hex153d5960

356342112 has 288 divisors, whose sum is σ = 1275523200. Its totient is φ = 96235776.

The previous prime is 356342099. The next prime is 356342137. The reversal of 356342112 is 211243653.

356342112 is a `hidden beast` number, since 3 + 5 + 634 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804163 + ... + 804605.

It is an arithmetic number, because the mean of its divisors is an integer number (4428900).

Almost surely, 2356342112 is an apocalyptic number.

356342112 is a gapful number since it is divisible by the number (32) 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 356342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637761600).

356342112 is an abundant number, since it is smaller than the sum of its proper divisors (919181088).

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

356342112 is a wasteful number, since it uses less digits than its factorization.

356342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 474 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 356342112 is about 18877.0260369583. The cubic root of 356342112 is about 708.9610619692.

Adding to 356342112 its reverse (211243653), we get a palindrome (567585765).

The spelling of 356342112 in words is "three hundred fifty-six million, three hundred forty-two thousand, one hundred twelve".