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331300134 = 232117322921
BaseRepresentation
bin10011101111110…
…011110100100110
3212002101210100100
4103233303310212
51134303101014
652512524530
711132001414
oct2357636446
9762353310
10331300134
11160012770
1292b50746
13538397a9
14320002b4
151e143009
hex13bf3d26

331300134 has 48 divisors (see below), whose sum is σ = 793834704. Its totient is φ = 99014400.

The previous prime is 331300121. The next prime is 331300139. The reversal of 331300134 is 431003133.

331300134 is a `hidden beast` number, since 331 + 300 + 1 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331300139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2994 + ... + 25914.

It is an arithmetic number, because the mean of its divisors is an integer number (16538223).

Almost surely, 2331300134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331300134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396917352).

331300134 is an abundant number, since it is smaller than the sum of its proper divisors (462534570).

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

331300134 is a wasteful number, since it uses less digits than its factorization.

331300134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23013 (or 23010 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 331300134 is about 18201.6519579955. The cubic root of 331300134 is about 691.9486566315.

Adding to 331300134 its reverse (431003133), we get a palindrome (762303267).

The spelling of 331300134 in words is "three hundred thirty-one million, three hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 4818 7227 14454 22921 45842 68763 137526 206289 252131 412578 504262 756393 1512786 1673233 2269179 3346466 4538358 5019699 10039398 15059097 18405563 30118194 36811126 55216689 110433378 165650067 331300134