Search a number
-
+
30947742 = 23272359181
BaseRepresentation
bin111011000001…
…1100110011110
32011020022022200
41312003212132
530410311432
63023152330
7524023440
oct166034636
964208280
1030947742
1116518551
12a4456a6
136547497
144178490
152ab4a7c
hex1d8399e

30947742 has 96 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 8268480.

The previous prime is 30947737. The next prime is 30947773. The reversal of 30947742 is 24774903.

It is a junction number, because it is equal to n+sod(n) for n = 30947697 and 30947706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170892 + ... + 171072.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 230947742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30947742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

30947742 is an abundant number, since it is smaller than the sum of its proper divisors (50821218).

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

30947742 is a wasteful number, since it uses less digits than its factorization.

30947742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 30947742 is about 5563.0694764671. The cubic root of 30947742 is about 313.9614473879.

The spelling of 30947742 in words is "thirty million, nine hundred forty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 59 63 69 118 126 138 161 177 181 207 322 354 362 413 414 483 531 543 826 966 1062 1086 1239 1267 1357 1449 1629 2478 2534 2714 2898 3258 3717 3801 4071 4163 7434 7602 8142 8326 9499 10679 11403 12213 12489 18998 21358 22806 24426 24978 28497 29141 32037 37467 56994 58282 64074 74753 74934 85491 87423 96111 149506 170982 174846 192222 224259 245617 262269 448518 491234 524538 672777 736851 1345554 1473702 1719319 2210553 3438638 4421106 5157957 10315914 15473871 30947742