Search a number
-
+
30973696 = 281341227
BaseRepresentation
bin111011000100…
…1111100000000
32011021121220221
41312021330000
530412124241
63023512424
7524162215
oct166117400
964247827
1030973696
1116535aa6
12a458714
136556240
144183b0c
152abc5d1
hex1d89f00

30973696 has 72 divisors (see below), whose sum is σ = 68506704. Its totient is φ = 13885440.

The previous prime is 30973693. The next prime is 30973697. The reversal of 30973696 is 69637903.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30973693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136335 + ... + 136561.

It is an arithmetic number, because the mean of its divisors is an integer number (951482).

Almost surely, 230973696 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 30973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34253352).

30973696 is an abundant number, since it is smaller than the sum of its proper divisors (37533008).

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

30973696 is a wasteful number, since it uses less digits than its factorization.

30973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 43.

The square root of 30973696 is about 5565.4016926005. The cubic root of 30973696 is about 314.0491896919.

The spelling of 30973696 in words is "thirty million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 227 256 328 416 454 533 656 832 908 1066 1312 1664 1816 2132 2624 2951 3328 3632 4264 5248 5902 7264 8528 9307 10496 11804 14528 17056 18614 23608 29056 34112 37228 47216 58112 68224 74456 94432 120991 136448 148912 188864 241982 297824 377728 483964 595648 755456 967928 1191296 1935856 2382592 3871712 7743424 15486848 30973696