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30834832 = 2473183107
BaseRepresentation
bin111010110100…
…0000010010000
32011000120102211
41311220002100
530343203312
63020521504
7523043320
oct165500220
964016384
1030834832
1116450736
12a3b0294
136507c82
144149280
152a913a7
hex1d68090

30834832 has 80 divisors (see below), whose sum is σ = 71995392. Its totient is φ = 12516480.

The previous prime is 30834779. The next prime is 30834833. The reversal of 30834832 is 23843803.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 30834794 and 30834803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30834833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288123 + ... + 288229.

Almost surely, 230834832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30834832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35997696).

30834832 is an abundant number, since it is smaller than the sum of its proper divisors (41160560).

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

30834832 is a wasteful number, since it uses less digits than its factorization.

30834832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 30834832 is about 5552.9120288368. The cubic root of 30834832 is about 313.5791622452.

The spelling of 30834832 in words is "thirty million, eight hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 83 107 112 124 166 214 217 248 332 428 434 496 581 664 749 856 868 1162 1328 1498 1712 1736 2324 2573 2996 3317 3472 4648 5146 5992 6634 8881 9296 10292 11984 13268 17762 18011 20584 23219 26536 35524 36022 41168 46438 53072 62167 71048 72044 92876 124334 142096 144088 185752 248668 275311 288176 371504 497336 550622 994672 1101244 1927177 2202488 3854354 4404976 7708708 15417416 30834832