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30906198 = 235193347
BaseRepresentation
bin111010111100…
…1011101010110
32011011012100000
41311321131112
530402444243
63022232130
7523461351
oct165713526
964135300
1030906198
111649a314
12a425646
1365315bb
144167298
152aa75d3
hex1d79756

30906198 has 48 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 9756936.

The previous prime is 30906191. The next prime is 30906223. The reversal of 30906198 is 89160903.

30906198 is a `hidden beast` number, since 30 + 9 + 0 + 619 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30906191) 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, 7561 + ... + 10907.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 230906198 is an apocalyptic number.

30906198 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30906198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

30906198 is an abundant number, since it is smaller than the sum of its proper divisors (42214122).

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

30906198 is a wasteful number, since it uses less digits than its factorization.

30906198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 30906198 is about 5559.3343126673. The cubic root of 30906198 is about 313.8208980375.

The spelling of 30906198 in words is "thirty million, nine hundred six thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 3347 4617 6694 9234 10041 20082 30123 60246 63593 90369 127186 180738 190779 271107 381558 542214 572337 813321 1144674 1626642 1717011 3434022 5151033 10302066 15453099 30906198