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30329334 = 23272137251
BaseRepresentation
bin111001110110…
…0100111110110
32010001220000200
41303230213312
530231014314
63002021330
7515536500
oct163544766
963056020
1030329334
1116135972
12a1a7846
13638bb69
144056d70
1529e1709
hex1cec9f6

30329334 has 72 divisors (see below), whose sum is σ = 77307048. Its totient is φ = 8568000.

The previous prime is 30329333. The next prime is 30329347. The reversal of 30329334 is 43392303.

30329334 is a `hidden beast` number, since 3 + 0 + 329 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30329298 and 30329307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30329333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120709 + ... + 120959.

It is an arithmetic number, because the mean of its divisors is an integer number (1073709).

Almost surely, 230329334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30329334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38653524).

30329334 is an abundant number, since it is smaller than the sum of its proper divisors (46977714).

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

30329334 is a wasteful number, since it uses less digits than its factorization.

30329334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 30329334 is about 5507.2074593209. The cubic root of 30329334 is about 311.8561343630.

The spelling of 30329334 in words is "thirty million, three hundred twenty-nine thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 137 147 251 274 294 411 441 502 753 822 882 959 1233 1506 1757 1918 2259 2466 2877 3514 4518 5271 5754 6713 8631 10542 12299 13426 15813 17262 20139 24598 31626 34387 36897 40278 60417 68774 73794 103161 110691 120834 206322 221382 240709 309483 481418 618966 722127 1444254 1684963 2166381 3369926 4332762 5054889 10109778 15164667 30329334