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332452134 = 23375571579
BaseRepresentation
bin10011110100001…
…101000100100110
3212011120022121000
4103310031010212
51140101432014
652553334130
711144540130
oct2364150446
9764508530
10332452134
1116072a233
1293407346
1353b50c51
1432220050
151e2be509
hex13d0d126

332452134 has 64 divisors (see below), whose sum is σ = 846374400. Its totient is φ = 94755744.

The previous prime is 332452121. The next prime is 332452151. The reversal of 332452134 is 431254233.

332452134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3324521342 = 221048842802307912, which contains 22 as substring.

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 = 332452098 and 332452107.

It is a congruent number.

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, 209757 + ... + 211335.

It is an arithmetic number, because the mean of its divisors is an integer number (13224600).

Almost surely, 2332452134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332452134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423187200).

332452134 is an abundant number, since it is smaller than the sum of its proper divisors (513922266).

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

332452134 is a wasteful number, since it uses less digits than its factorization.

332452134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2148 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 332452134 is about 18233.2699755145. The cubic root of 332452134 is about 692.7497456623.

The spelling of 332452134 in words is "three hundred thirty-two million, four hundred fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 557 1114 1579 1671 3158 3342 3899 4737 5013 7798 9474 10026 11053 11697 14211 15039 22106 23394 28422 30078 33159 35091 42633 66318 70182 85266 99477 105273 198954 210546 298431 596862 879503 1759006 2638509 5277018 6156521 7915527 12313042 15831054 18469563 23746581 36939126 47493162 55408689 110817378 166226067 332452134