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30961344 = 26347273
BaseRepresentation
bin111011000011…
…0111011000000
32011020222222110
41312012323000
530411230334
63023335320
7524111211
oct166067300
964228873
1030961344
1116527797
12a451540
13655072b
14417d408
152ab8ae9
hex1d86ec0

30961344 has 84 divisors (see below), whose sum is σ = 84845144. Its totient is φ = 9962496.

The previous prime is 30961339. The next prime is 30961349. The reversal of 30961344 is 44316903.

It is an interprime number because it is at equal distance from previous prime (30961339) and next prime (30961349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30961349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424092 + ... + 424164.

Almost surely, 230961344 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 30961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42422572).

30961344 is an abundant number, since it is smaller than the sum of its proper divisors (53883800).

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

30961344 is an equidigital number, since it uses as much as digits as its factorization.

30961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 30961344 is about 5564.2918686927. The cubic root of 30961344 is about 314.0074375833.

The spelling of 30961344 in words is "thirty million, nine hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 73 94 96 141 146 188 192 219 282 292 376 438 564 584 752 876 1128 1168 1504 1752 2209 2256 2336 3008 3431 3504 4418 4512 4672 6627 6862 7008 8836 9024 10293 13254 13724 14016 17672 20586 26508 27448 35344 41172 53016 54896 70688 82344 106032 109792 141376 161257 164688 212064 219584 322514 329376 424128 483771 645028 658752 967542 1290056 1935084 2580112 3870168 5160224 7740336 10320448 15480672 30961344