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30834132 = 22372411279
BaseRepresentation
bin111010110011…
…1110111010100
32011000112110220
41311213313110
530343143012
63020514340
7523041300
oct165476724
964015426
1030834132
111645015a
12a3ab9b0
136507864
144148d00
152a9108c
hex1d67dd4

30834132 has 72 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 8588160.

The previous prime is 30834121. The next prime is 30834149. The reversal of 30834132 is 23143803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23469 + ... + 24747.

It is an arithmetic number, because the mean of its divisors is an integer number (1191680).

Almost surely, 230834132 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 30834132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900480).

30834132 is an abundant number, since it is smaller than the sum of its proper divisors (54966828).

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

30834132 is a wasteful number, since it uses less digits than its factorization.

30834132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30834132 is about 5552.8489984872. The cubic root of 30834132 is about 313.5767893110.

Adding to 30834132 its reverse (23143803), we get a palindrome (53977935).

The spelling of 30834132 in words is "thirty million, eight hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1279 1722 2009 2558 3444 3837 4018 5116 6027 7674 8036 8953 12054 15348 17906 24108 26859 35812 52439 53718 62671 104878 107436 125342 157317 188013 209756 250684 314634 367073 376026 629268 734146 752052 1101219 1468292 2202438 2569511 4404876 5139022 7708533 10278044 15417066 30834132